DANIELS, Henry Ellis

DANIELS_HENRY_ELLIS

Catalogue of the papers and correspondenceof Henry Ellis Daniels FRS (1912-2000) by Peter Harper and Timothy E. Powell NCUACScatalogue no. 109/8/02 H.E. Daniels NCUACS 109/8/02 Title: Catalogue of the papers and correspondence of Henry Ellis Daniels FRS (1912-2000), statistician Compiled by: Peter Harper and Timothy E. Powell Description level: Fonds Date of material: ca 1931-2000 Extent of material: 15 boxes, ca 310 items Depositedin: Cambridge University Library Reference code: GB 0012 Daniels papers © 2002 National Cataloguing Unit for the Archives of Contemporary Scientists, University of Bath. NCUACS catalogue no. 109/8/02 H.E. Daniels NCUACS109/8/02 The workof the National Cataloguing Unit for the Archives of Contemporary Scientists is supported by the following societies and organisations: The British Computer Society The British Crystallographic Association The Geological Society Girton College Cambridge TheInstitute of Physics The Royal Society The Royal Astronomical Society The Royal Society of Chemistry St John’s College Cambridge Trinity College Cambridge The Wellcome Trust H.E. Daniels NCUACS 109/8/02 NOT ALL THE MATERIAL IN THIS COLLECTION MAY YET BE AVAILABLE FOR CONSULTATION. ENQUIRIES SHOULD BE ADDRESSED IN THE FIRST INSTANCE TO: THE KEEPER OF MANUSCRIPTS CAMBRIDGE UNIVERSITY LIBRARY WEST ROAD CAMBRIDGE H.E. Daniels NCUACS 109/8/02 LIST OF CONTENTS Items Page GENERAL INTRODUCTION SECTION A NOTEBOOKS SECTION B RESEARCH A.1-A.38 B.1-B.81 SECTION C LECTURES AND PUBLICATIONS C.1-C.181 SECTION D CORRESPONDENCE D.1-D.11 INDEX OF CORRESPONDENTS 18 24 50 52 H.E. Daniels NCUACS109/8/02 GENERAL INTRODUCTION PROVENANCE 5 The papers were received from Mrs Barbara Daniels, widow,in June 2001 OUTLINE OF THE CAREER OF HENRYELLIS DANIELS Daniels was born in London on 2 October 1912. He was educated at the Sciennes School, Edinburgh and George Heriot’s School, Edinburgh, obtaining a scholarship to read mathematics at Edinburgh University where he graduated MA in 1933. With the encouragementof the head of department, E.T. Whittaker, he went for a further period of study at Cambridge University, winning a Major Mathematical Scholarship to Clare College. Amongst his Cambridge studies he took a course in statistics with practical exercises which wasprovided by the School of Agriculture. In 1935 he was appointed Statistician at the Wool Research Industries Association, Leeds to study mathematical and statistical aspects of the wool industries. Skeins of wool are bundles of fibres and the mathematical theory of ‘fibre bundles’ was one that Daniels returned to again and again in his career. One of Daniels’ colleagues at Leeds was the biochemist A.J.P. Martin who, with R.L.M. Synge, was working on the development of paper chromatography for which they were awarded a Nobel Prize. Daniels contributed a mathematical appendix to their key paper giving a quantitative explanation of why the method works. During the Second World War Daniels was seconded to the Air Warfare Analysis Group in the Ministry of Aircraft Production to work on improvements in radiolocation. This work led in due course to a major paper on position finding in the Journal of the Royal Statistical Society. In 1947 he returned to Cambridge as Lecturer in Mathematics attached to the newly formed Statistical Laboratory which offered a postgraduate Diploma in Statistics. Here he played a crucial role in the formation of the Laboratory's many impressive students but becameverycritical of the University’s treatment of his subject, there being no professor and none of the academic staff held college fellowships. In 1957 Birmingham University established a Chair in Mathematical Statistics and Daniels was invited to apply. Here he spent 21 years, retiring from the Chair in 1978 when he returned to Cambridge to continue research in association with the Statistical Laboratory. Amongst his statistical work at Birmingham was a close research relationship with J.C. Squire, a leading member of the medical faculty. Daniels’ research was characterised by his deploymentof classical mathematical techniquesto solve very difficult probabilistic problems arising from scientific issues. H.E. Daniels NCUACS 109/8/02 6 Daniels’ distinction in mathematical statistics was recognised by his colleagues and the wider scientific community. In 1974-1975 he served as President of the Royal Statistical Society which awarded him its Guy Medal in silver in 1957 and in gold in 1984. In 1985 he was elected an honorary fellow of the International Statistical Institute. He was elected FRS in 1980. Outside his professional activities Daniels had considerable musical interests and abilities which included playing the concertina. He was also a highly skilled watch repairer and assisted the watchmaker George Daniels design a watch which showedsidereal as well as solar time to a high degree of accuracy. Henry Daniels becamefirst a Freeman and then in 1984 a Liveryman of the Worshipful Company of Clockmakers. In 1950 he married Barbara Edith Pickering with whom he had two children. He died 16 April 2000. DESCRIPTION OF THE COLLECTION The material in the collection is presented in the order shownin the List of Contents. It covers the period ca 1931-2000. Section A, Notebooks, provides important documentation of Daniels’ mathematical studies at Edinburgh and Cambridge. There are thirteen notebooks which appear to have been used by Daniels at Edinburgh for lecture notes. Members of the academic staff of the university represented by lecture notes include the head of department, E.T. Whittaker, C.G. Darwin, Tait Professor of Natural Philosophy, W.H. McCrea and A. Oppenheimer. As many as twenty notebooks appear to have been used at Cambridge. Members of the academic staff represented by lecture notes include A.S. Eddington, Plumian Professor of Astronomy and mathematics lecturers A.E. Ingham, M.H.A. Newmanand A.H. Wilson. Agricultural statistics are represented by notes of H.G. Sanders’ lectures on field experimentation with practical examples. There are a small number of caricature sketches (heads in profile) of Daniels’ lecturers in the student notebooks and Eddington is one of those represented in this way. A further six notebooks do not appear to be student notebooks; two are dated in 1950 when Daniels was a mathematics lecturer at Cambridge. Section B, Research, presents an alphabetical sequence byfolder or box title of Daniels’ research material. The principal contents of Daniels’ research folders are sequences of undated manuscript notes, only occasionally titled but often paginated and kept together with treasury tags; data, in manuscript form or automatically generated; and off-prints and photocopies of published material. Additionally there may be notes in hands other than Daniels’ and little correspondence. Topics include ‘bundles’ and epidemics and a number of Daniels’ folders were identified with the names of colleagues including D.J. Bartholomew and D.R. Cox. The earliest surviving material relates to the H.E. Daniels NCUACS 109/8/02 7 wartime work on navigational problems, and the postwar Decca Navigator System papers which were sent to Daniels in 1947 probablyrelate to this work. Section C, Lectures and publications, is the largest in the collection. There is a significant record of Daniels’ university teaching at Cambridge and Birmingham arranged alphabetically by foldertitle. Course topics include ‘Design of Experiments’, Epidemics, Mechanics and ‘Multivariate Analysis’. The documentation may include Daniels’ manuscript lecture notes, lists of students taking the courses, examples and problem sheets, and related material from colleagues. Daniels' annotation of his lecture notes gives some indication of how lecture courses were adapted over time. There is a shorter sequence of lecture course material arranged alphabetically by colleague. Amongst those represented are F.J. Anscombe, M.S. Bartlett, E.L. Lehmann and D. Williams. There is a good record of Daniels’ seminar and conference papersfor the last ten years of his life, 1990-2000. The documentation is principally transparencies and manuscript notes. For conferences in Uppsala, Sweden, in 1990 and Ascona, Switzerland, in 1995 and 2000 there is also correspondence concerning the arrangements for Daniels’ participation in the meeting. Daniels’ publications are represented by his bibliography and a good setof off-prints, 1932-2000. There is also a little miscellaneous correspondence and papers about publications by Daniels and G.A. Barnard, 1965- 2000. Section D, Correspondence, is not extensive. With the exception of brief correspondence re the Golden Jubilee of the Statistical Institute, Calcutta in 1981, it is the contents of a single folder, covering the period, 1992-1999. The correspondence is predominantly scientific and includes photocopies and manuscript drafts of Daniels’ replies. There is also an index of correspondents. ACKNOWLEDGEMENTS We are very grateful to Mrs Daniels for making the papers available for cataloguing and for a generous donation in support of the work. P. Harper T.E. Powell Bath 2002 H.E. Daniels NCUACS 109/8/02 SECTION A NOTEBOOKS 8 A.1-A.38 A.1-A.31 STUDENT NOTEBOOKS A.32-A.38 OTHER NOTEBOOKS A.1-A.31 STUDENT NOTEBOOKS A.1-A.13 A.14-A.31 University of Edinburgh University of Cambridge A.1-A.13 University of Edinburgh 1931-1935 and n.d. Daniels graduating MA in 1933. studied mathematics and natural philosophy at Edinburgh A.14 A.2 Hardback University ‘Mathematics 1 (Ruse)’. N.d. of Foundations of Analysis (Edge) Edinburgh notebook labelled on front cover Higher Algebra & Geom Inscribed inside front cover with Daniels’ name and Edinburgh address ‘8 Millerfield Place’. Usedfor notes on lectures by ‘W.L. Edge’ paginated 1-86 and by ‘Dr [? H.S.] Ruse’ paginated 89-175. A fewloose papers enclosed. Hardback notebook labelled on front cover ‘Mathematics 1. Foundations of Analysis (Ruse) Relativity (Whittaker)’. N.d. Inscribed inside front cover with Daniels’ name and Edinburgh address, book list and contentslist. Used for notes on lectures by ‘Dr Ruse’ on ‘Foundations of Analysis or Functions of a real variable’ paginated 1-84. Used for notes on lectures by ‘Prof E.T. Whittaker’ on ‘Relativity’ paginated 85-183. E.T. Whittaker was Professor of Mathematics at Edinburgh, 1912-1946. H.E. Daniels NCUACS 109/8/02 Notebooks A.3 Hardback University of Edinburgh notebook labelled ‘Mathematics 2. General Analysis:- 1. Complex variable Gibb 2. Partial Diff. Equations Prof W.’ N.d. Inscribed inside front cover with Daniels’ name and Edinburgh address. Used for notes on lectures by ‘Mr [? David] Gibb’ on ‘General Analysis Functions of a complex variable’ paginated 1-77. Used for notes on lectures by ‘Prof. [E.T.] Whittaker on ‘Partial differential equations & Calculus of variations’ paginated 81-[145]. There are three unidentified caricature sketches drawn on the inside back cover. A few loose papers enclosed. A.4 Hardback notebook labelled on front cover ‘Mathematics 2. (i) Ince Comp. Var. (ii) McCrea P.D. Eqs.’ N.d. Inscribed inside front cover with Daniels’ name and Edinburgh address and contentslist. Used for notes on lectures by ‘Dr [? E.L.] Ince’ on ‘Functions of a complex variable’ paginated 1-71. Used for notes on lectures by ‘Dr McCrea’ on ‘Partial Differential Equations’ paginated 72-145. Appendix paginated from the back [I]-XV. W.H. McCrea (later Sir William) was Lecturer in Mathematics at Edinburgh, 1930-1932. A.5 Hardback notebook inscribed inside front cover with Daniels’ name. 1932. First page headed ‘Differential equations Dr McCrea’. Used for notes on lectures by McCrea paginated 1-52. Page 53 headed‘1932 Tutorials on Partial Diff. Equations (McCrea)’. Used for notes re tutorials, 14.1.32’ and '26.1.32’ paginated 53-77. Used for unpaginated sequences of notes headed ontheir respective first pages ‘Determinants [Richard] Courant’ and ‘Use of Green’s function in the soln. of the equation of conduction. ([H.S.] Carslaw - Theory of Conduction of heat)’. McCrea’, ‘2nd Order Diff. Eqns. H.E. Daniels NCUACS 109/8/02 10 Notebooks A.6 Hardback notebook inscribed on front cover ‘Maths’ and inside front cover with Daniels’ name and contentslist. N.d. The contents list, which may not apply to the whole book, indicates that it wasusedfor ‘Inter hon. Maths 2nd t[er]m (continued)’ notes on ? lectures on ‘Determinants’ and ‘Integral Calculus’, and ‘3rd t[er]m’ notes on ? lectures on ‘Solid geom (anal.)’ and ‘Homogeneous coord’. Unpaginated From about halfway through the book and after a gap of a number of unused pages there are notes on ‘Integration’ which are headed ‘contd.’ and ‘Oppenheim’. These are followed without a break by notes headed ‘Prof E.T. Whittaker’, ‘Projective Geometry’ and ‘8rd term’. Unpaginated. A. Oppenheim (later Edinburgh 1930-1931. Sir Alexander) was Lecturer in Mathematics at A.7 Hardback notebook inscribed on front cover ‘Optics Inter Hon’. Inscribed inside front cover with Daniels’ name and Edinburgh address and ‘Books used’. N.d. First page headed ‘Inter Honours Coursein Optics’. Used for notes on ‘Geometical Optics’ paginated 1-56 and ‘Physical Optics’ paginated 57-135. A.8 Hardback notebook labelled on front cover ‘Applied Mathematics Dynamics [C.G.] Darwin 1931-1932 Math. Electricity Darwin’. Schlapp 1932-1933 Hydrodynamics Inscribed inside front cover with contents list and Daniels’ name and Edinburgh and Cambridge addresses. Used for notes on Darwin’s lectures on ‘Advanced Dynamics’ paginated 1- 149, Schlapp’s lectures on ‘Hydrodynamics and Waves’ paginated 151-233 and Darwin’s lectures on ‘Mathematics Electricity’ paginated 235-[338]. There are caricature sketches of Schlapp and Darwin on pages 150 and 234, respectively. A few loose papers enclosed. C.G. Darwin (later Sir Charles) was Tait Professor of Natural Philosophyat Edinburgh, 1924-1936. H.E. Daniels NCUACS 109/8/02 11 Notebooks A.9 Hardback University of Edinburgh notebook labelled on front cover ‘Electricity 1 [G.A.] Carse Final Optics [J.R.] Milne’. N.d. Used from the front for notes on lectures by ‘Milne’ on ‘Final Optics’. Unpaginated. Used from the back for notes on lectures by ‘Carse’ on ‘E.I.’- Unpaginated. A few loose papers enclosed. A.10 Softback notebook inscribed on front cover ‘H. Mechanics (McCrea)’. 1932. Daniels’ and ‘Wave Inscribed inside front cover with Daniels’ name and Edinburgh address (Clare College Cambridge address addedlater) and book list. Used for notes on lectures by W.H. McCrea on ‘Wave Mechanics (1932)’. Paginated 1-38. Also used for notes on F.A. Lindemann The physical significance of quantum theory, 1932. Softback notebook inscribed on front cover and on first page ‘Optics’ and ‘C.G. Darwin’. N.d. Unpaginated (exceptfor first three pages). A few loose papersare enclosed. A.12 Softback notebook inscribed on front cover ‘Miscellaneous Examples’ and inside front cover with Daniels’ name and Edinburgh address and contents list. N.d. From the front the first 37 pages are paginated. Many pages unpaginated. From the back are notes headed ‘Hydrodynamics’ paginatedI-[VIII]. A few loose papers are enclosed. A.13 Softback notebook inscribed ‘F.& D.’ The inscription ‘HydroDyns & Waves’ is crossed out. N.d. Used from the front and the back. Listed under Edinburgh because same format as A.10-A.12 and purchased in Edinburgh (see inside back cover) but that does not preclude use in Cambridge. H.E. Daniels NCUACS 109/8/02 12 Notebooks A.14-A.33 University of Cambridge ca 1933-1935 In 1933 (the year he graduated from Edinburgh) Daniels won a Major Mathematics Scholarship to Clare College Cambridge. He left to become statistician, Wool Industries Research Association, 1935-1947 (with a period with the Ministry of Aircraft Production during the Second World War) returning to Cambridge in 1947 as Lecturer in Mathematics. A.14-A.22 are softback notebooks in the same format as A.10-A.13 identified on front cover with ‘Collins’ Silver Series No.6’. A.23-A.28 are similar in format to A.14-A.22 but identified on front cover with ‘Weatherhead & Son, 1 Bene’t Street, Cambridge’. A.29-A.31 are similar in format to the preceding groups but lack any identification as to commercial series or supplier. A.14 Softback notebook as inscribed on front cover ‘M W F 10’ and‘Relativity Prof. Eddington’. N.d. Used for notes on Eddington’s lectures on theoryofrelativity. (Sir A.S. Cambridge, 1913-1944. Arthur) Eddington was Plumian Professor of Astronomy, Softback notebook inscribed on front cover ‘Prof Sir A.S. Eddington Relativity Theory of Electrons’ and ‘Theory of Estimation (notes on R.A. Fisher M S Bartlett)’. N.d. Used for sequences of notes of lectures and/or Daniels’ reading. A.16 Softback notebook inscribed on front cover ‘Tu. Th. S. 10-11’ and ‘Electricity Ill:- Dr Goldstein’. N.d. Inscribed inside front cover with Daniels’ name and Cambridge College. Used for notes on lectures by Goldstein on electricity. S. Goldstein was Lecturer in Mathematics, Cambridge, 1931-1945. Softback notebookinscribed on front cover ‘M.W.F. 5.15-6.15’ and ‘Complex Variable Mr Ingham’. N.d. Inscribed inside front cover with Daniels’ name and Cambridge College. A.E. Ingham was University Lecturer in Mathematics, Cambridge, 1930- 1953. H.E. Daniels NCUACS 109/8/02 13 Notebooks A.18 Softback notebookinscribed on front cover ‘M W F 10-11’ and ‘Algebra & Tensors:- Mr Newman’. N.d. Inscribed with Daniels’ name inside front cover. Used for notes on lectures by Newman on Algebra and Tensors. Unpaginated. A few loose pagesare enclosed. M.H.A. Newman wasUniversity Lecturer in Mathematics, Cambridge, 1927- 1945. A.18A Softback notebook inscribed ‘M W F. 9-10’ and ‘Dynamics:- Mr Pars’. N.d. Usedfor notes on lectures of Pars on dynamics, Unpaginated. Loose papers are enclosed. L.A. Pars was a Fellow of Jesus College, Cambridge from 1921. A.19 Softback notebook inscribed ‘M W F. 11-12’ and ‘Hydrodynamics Mr Pars’. N.d. Used for notes on lectures of Pars on hydrodynamics, Unpaginated (except for the first five pages). A few loose papersare enclosed. A.20 Softback notebookinscribed ‘Tu. Th. S. 9-10’ and ‘Projective Geometry Mr White’. Inscribed inside front cover with Daniels’ name and Cambridge College at the top and his Edinburgh addressat the bottom. Used for notes on lectures on projective geometry. Unpaginated. A.21 Softback notebook inscribed ‘M W F 11’ and ‘Electric Waves Mr Woodward’. N.d. Inscribed inside front cover with Daniels name and Cambridge College. Used for notes on Woodward's lectures on electric waves. Unpaginated. A few loose papers are enclosed. H.E. Daniels NCUACS 109/8/02 14 Notebooks A.22 Softback notebookinscribed on front cover ‘App. Math. Sheets. &c.’ N.d. Used for ? worked examples. First page headed ‘Rev. Dynes’ and ‘Sheet|’. Unpaginated. A few loose papers are enclosed. A.23 Softback notebook inscribed on front cover ‘M W 10’ and ‘Combinations of Observations Prof. Eddington’. N.d. Inscribed inside front cover with Daniels’ name and Cambridge College. Caricature sketch of Eddington drawn inside front cover. Used for notes on lectures by Eddington on combinations of observations. Unpaginated. A few loose papersare enclosed. A.24 Softback notebook inscribed on front cover ‘T. Th. S11’ and ‘Dynamical Theory of Gases Dr Powell’. N.d. Inscribed inside front cover with Daniels’ name and Cambridge College. Used for notes on Powell’s Paginated 1-100. A few loose papers are enclosed lectures on dynamical theory of gases. A.25 Softback notebook (same format as preceding) inscribed on front cover ‘T Th S. 9. 10’ and ‘Differential Geometry Mr Room Heaviside Operational Calculus L.A. Pipes J. app. Phys. 1939 March, April, May’. Used for notes for lectures by Room on differential geometry, notes on Pipes’ papers on the operational calculus and notes on ‘Sequential Analysis F.J. Anscombe’. Unpaginated exceptfor first few pages. A few loose papersare enclosed. T.G. Room wasLecturer in Mathematics, Cambridge, 1923-1935 (Professor of Mathematics, University of Sydney, 1935-1968). A.26 Softback notebook (same format as preceding) inscribed on front cover ‘Monday5-15’ and ‘Field Experimentation Dr Sanders’. N.d. Inscribed inside front cover with Daniels’ name and Cambridge College. H.E. Daniels NCUACS 109/8/02 15 Notebooks Used for notes on [H.G.] Sanders’ lectures on field experimentation. Many pages unused. Enclosed loose is duplicated sheet headed ‘Statistics (3)’ with practical examplesfrom agriculture. A.27 Softback notebook (same format as preceding) inscribed ‘M W F. 11-12’ and ‘Intro’ Quantum Th. H M. Taylor’. N.d. Inscribed inside front cover with Daniels’ name and Cambridge College and booklist. Used for notes on lectures by Taylor on introductory quantum theory. Many pages unused. H.M. Taylor was Lecturer in Mathematics, Cambridge, 1934-1945. A.28 Softback notebook (same format as preceding) inscribed ‘T.Th.S. 12’ and ‘Quantum Theory of Spectra Mr Wilson’. N.d. A.29 A.30 Inscribed inside front cover with Daniels’ name and Cambridge College. Used for notes on lectures by [? A.H]. Wilson on quantum theory of spectra. Paginated 1-73. A few loose papersare enclosed. A.H. Wilson was University Lecturer in Mathematics, Cambridge, 1933-1945. Softback notebook inscribed on front cover ‘M W F 9-10’ Functions Ingham’. N.d. and ‘Elliptic Used for Unpaginated. notes of lectures by A.E. Ingham on elliptic functions. Softback notebook inscribed on the cover ‘Differential Equations Newman’. N.d. Caricature sketch on front cover. Used for notes of lectures by M.H.A. Newman on differential equations. Unpaginated. A few loose pages are enclosed. H.E. Daniels NCUACS 109/8/02 16 Notebooks A.31 A.32 Softback ‘Thermodynamics H.M. Taylor’. N.d. notebook inscribed on front cover M.W.F. 10’ and Inscribed inside front cover with list of books and Daniels’ name and Cambridge College. Used for notes on lectures by Taylor on thermodynamics. Paginated 1-[72]. Large format binder labelled inside front cover with Daniels’ name and Cambridge College. N.d. Used for sequence of notes paginated 1-130. A.33-A.38 OTHER NOTEBOOKS 1950 and n.d. A.33 and A.34 are public service softback notebooks. A.35-A.38 are softback notebooks of similar format. A.33 Softback notebook ‘supplied for the public service’ inscribed on the front cover with Daniels’ name and ’Grimshaw — Hilbert Space (and other notes)’. Inscribed inside front cover with Daniels’ name and address ‘A.W.A.S, [?Air Ministry Air Warfare Analysis Section] H.M.S.O Annexe, Wealdstone, Middx’. Daniels spent three years with the Ministry of Aircraft Production, 1942- 1945. A few of the notes at the front of the notebook may date from this period. However the principal sequence in the notebook is headed ‘Miss Grimshaw Hilbert Space Lent 1950’. Daniels was Lecturer in Mathematics, Cambridge, 1947-1957. The notes beginning ‘Lent 1950’ are paginated 1-122. A.34 Softback notebook ‘supplied for the public service’ inscribed on the front cover ‘Anscombe DofE [Design of Experiments]’. N.d. Used for a number of sequences of notes: ‘Notes on Wald Sequential Analysis Theory’ paginated 1-6; ‘H Cramer Stochastic Processes April 1950’ paginated 1-10; and ‘[F.J.] Anscombe Design of Expts’ paginated 1-[79]. Four duplicated example sheets are enclosed. H.E. Daniels NCUACS 109/8/02 17 Notebooks A.35 A.36 Softback notebook inscribed on front cover ‘Distribution theory Distance’. N.d. S&L Used for notes from the front and the back. Most pagesnot used. A few loose papers are enclosed. Softback notebook inscribed on the front cover ‘N.P. Confidence Regionsfor regression’. N.d. Used for sequencesof notes. Loose papers enclosed. A.37 Softback notebook inscribed on the front cover ‘Randomisation’. N.d. Used for notes from the front and the back. Loose papers enclosed. A.38 Softback notebook inscribed on the front cover ‘Time Intervals’. N.d. Used for notes from the front and the back. Many pagesnot used. Loose papers enclosed. H.E. Daniels NCUACS 109/8/02 18 SECTION B RESEARCH B.1-B.81 Theprincipal contents of Daniels’ research folders are sequences of undated manuscript notes, only occasionally titled but often paginated and kept together with treasury tags; data, in manuscript form or automatically generated; and off-prints and photocopies of published material. Additionally there may be notesin handsother than Daniels’ anda little correspondence. The arrangementis an alphabetical sequence by box or folder title. Contents of untitled folders are at the end of the sequence. B.1-B.4 ‘Bartholomew’. Contents of folder so inscribed divided into four for ease of reference: manuscript publication, and correspondence with D.J. Bartholomew re ‘Poisson approximation for the epidemic model’,1977. photocopy of pages from notes, data, B.5-B.13 ‘Bundles 2’. Contents of box so inscribed. B.5 B.6 B.7-B.12 B.7, B.8 ‘Twisted Yarn 2’. Contents of folder so inscribed: manuscript notes, letter from ‘Richard [L. Smith] enclosing ‘two sets of notes, dated 1986 and 1987’. Smith wrote from the Department of Statistics, University of North Carolina at Chapel Hill, 10 February 1992. The notes referred to in Smith’s letter were found in the ‘Twisted Yarn 4’ folder. See B.9-B.12. ‘Twisted Yarn 3’. data, n.d. Contents of folder so inscribed: manuscript notes and ‘Twisted Yarn 4’. Contents of folder so inscribed divided into six for ease of reference. Photocopies of correspondence and other papers re refereeing an article or found with them, 1989-1990, presumably sent to Daniels for information. 2 folders. H.E. Daniels NCUACS 109/8/02 19 Research B.9-B.12 Manuscript notes by Daniels and photocopies of notes by R.L. Smith. Smith’s notes are headed ‘Noteswritten in 1986’ (B.9) and ‘Iterated Bundle Scheme 29/3/87’ (B.12) and were sent to Daniels in 1992. See B.5. 4 folders. B.13 ‘Martin-Lof’s problem’. n.d. Contents of folder so inscribed: manuscript notes, B.14 ‘Cox’. Contents of folder so inscribed: two typescript draft papers by D.R. Cox sent to Daniels for comment, n.d., latest bibliographical reference, 1977. B.15, B.16 ‘C. Rogers B[rownian] M[otion] on manifold’. Contents of folder so inscribed. B.15 Manuscript notes on back of computer print-outs dated 1985. Photocopy of manuscript draft Differential Geometry’ beginning ‘The main purpose of these seminars is to give a simple-minded construction of Brownian motion on a Riemannian manifold’ and inscribed at the head of the first page ‘H.E.D[aniels]’. Paginated 1-10. N.d. ‘Stochastic titled Photocopy of a manuscript draft on Brownian motion. N.d. Paginated 14-[17]. B.16 Typescript drafts of two papers on Brownian motionsof ellipsoids by J.R. Norris, L.C.G. Rogers and David Williams, latest bibliographical reference 1981. n.d., B.17-B.27 The Decca Navigator System’. Contents of folder so labelled: ‘complete set’ of handbooks with covering letter, manuscript notes, and two duplicated typescripts, 1947, 1949 and n.d. B.17-B.24 Eight Decca Navigator System handbooks, sent to Daniels, 28 January 1947. ‘European Planning and Frequency Requirements’. H.E. Daniels NCUACS 109/8/02 20 B.18 B.19 B.20 B.21 B.22 B.23 B.24 B.25 B.26 Research ‘Scientific Aid to Modern Survey’. ‘The Problem of Civil Air Navigation and Traffic Control’. ‘Lane Identification’. ‘Traffic Control Unit’. ‘Air Manual’. ‘The English Chain of Stations and Technical Data’. ‘Notes on Accuracy’. Letter sending ‘a complete set of handbooks referring to the Decca Navigator System’, 28 January 1947. Manuscript notes, n.d. Decca Navigator System paper ‘A Plan for Air Navigation and Traffic Control’. 6pp duplicated typescript with manuscript comments and underscoring + figures, November 1949. B.27 ‘General Principles of Track Control’. 8pp duplicated typescript + appendix andfigures. B.28, B.29 ‘Ep. Appendix’. Contents of folder so inscribed. B.28 Manuscript notes, n.d. H.E. Daniels NCUACS 109/8/02 21 Research B.29 ‘The mathematical theory of combat’ by L.B.C. Cunningham. 22pp duplicated typescript, n.d. but probably prepared during the Second World War. B.30 ‘Martin-Lof 5 Salminen’. Contents of folder so inscribed: manuscript notes and data, n.d.; off-print by Daniels and T.H.R. Skyrme, 1985. B.31-B.34 ‘Mean Deviation’. Contents of folder so inscribed divided into four for ease of reference: manuscript notes, n.d. and published papers by Daniels and others, 1940- 1997. B.35 ‘Mean Deviation’. Contents of folder so inscribed: manuscript notes and data, n.d. B.36, B.37 ‘Perturb IV’. Contents of folder so inscribed divided into two for ease of reference: manuscript notes on simple epidemics including print-out of email dated 23 November 1994 (B.37) used for notes. B.38-B.40 ‘Reprints for Persi Diaconis’. Contents of folder so inscribed divided into three for ease of reference: manuscript notes, including sequence dated 1998, 1p typescript note by David Siegmund dated April 1999 and headed ‘Problem for Henry Daniels’, off-prints and photocopies of published papers by Daniels and others 1951- 2000. B.41, B.42 ‘Selection and Drift’. Contents of folder so inscribed divided into two for ease of reference: manuscript notes and photocopy of published paper 1973. H.E. Daniels NCUACS 109/8/02 22 Research B.43-B.47 ‘Simple Epidemic’. Contents of folder so inscribed divided into five for ease of reference: manuscript notes and data. N.d. B.48-B.50 ‘Stochastic Iteration’. Contents of folder so inscribed divided into three for ease of reference: manuscript notes, n.d. and off-print and photocopies of published papers by Daniels and others 1951-1976. B.51 ‘Tables’. Contents of folder so inscribed: manuscript notes and duplicated pages from published sources, n.d. B.52 ‘UGC [University Grants Committee] figures for intake’. Contents of folder so inscribed: data and correspondence, 1977. B.53-B.56 ‘Variance of epidemics I’. Contents of folder so inscribed divided into four for ease of reference: manuscript notes and data, n.d. B.57-B.61 ‘Variance of epidemics II’. Contents of folder so inscribed divided into five for ease of reference: manuscript notes, including sequence headed ‘simple epidemic’, and offprints by Daniels 1960-1982 and n.d. latest bibliographical reference 1986. B.62-B.65 ‘Variance of epidemics LT of ep’. Contents of folder so inscribed divided into four for ease of reference: manuscript notes and data, n.d. H.E. Daniels NCUACS 109/8/02 23 Research B.66 Contents of untitled folder: manuscript draft headed ‘Navigational statistics’ + diagrams. These papers relate to wartime work. The diagrams have an ‘A.W.A.S.’, [?Air Ministry Air Warfare Analysis Section] reference and are dated in 1942. B.67, B.68 Contents of untitled folder divided into two for ease of reference: manuscript notes including sequence headed ‘simple epidemics’, data, and duplicated pages from ‘Perturbation Approximations for Epidemics’ by Daniels, n.d., latest bibliographical reference 1986. Found with papers on variance of epidemics at B.53-B.65. B.69 Contents of untitled folder: manuscript notes, n.d. Found with papers on variance of epidemics at B.53-B.65. B.70-B.73 B.74, B.75 B.76-B.80 Contents of untitled folder divided into four for ease of reference: manuscript notes, data, and two offprints by others re bootstrap procedures and saddlepoint approximations, 1988, 1990. Contents of untitled folder divided into two for ease of reference: manuscript notes and data; photocopied pages on saddlepoint approximation from published work. N.d. Contents of untitled folder divided into five for ease of reference: manuscript notes, data, correspondence 1970-1971, off-prints and photocopies of published papers, 1941-1971. Includes papers re work on epidemics. B.81 Contents of untitled folder: 1p manuscript notes on career of John Wishart. H.E. Daniels NCUACS109/8/02 24 SECTION C LECTURES AND PUBLICATIONS C.1-C.181 C.1-C.164 LECTURES C.165-C.181 PUBLICATIONS C.1-C.164 LECTURES 1947-2000 C.1-C.71 University teaching by Daniels C.72-C.94 University teaching by others C.95-C.164 Seminar and conference papers C.1-C.71 University teaching by Daniels 1947-1978 Analphabetical sequencebyfoldertitle. C.1-C.4 ‘Design of Experiments’. Contents of folder so inscribed. C.1-C.3 Lists for 1956 and 1957 of students taking the course and manuscript notes in ink titled ‘Design of Experiments’ and paginated 1-90, with manuscript additions, comments, etc in pencil; unpaginated manuscript notes. 3 folders. The first page of the paginated sequence hasthe inscription ‘Homage to D.R. Cox on whosenotesthis course is based’. C.4 C.5 29pp duplicated typescript and manuscript sheets for design of experiments course. ‘Epidemics Lectures’. Contents of folder so inscribed. H.E. Daniels NCUACS 109/8/02 25 Lectures and publications Papers attached with treasury tag: list for 1978 of students taking the course; manuscript notes 1-14 with intercalated pagesin ink and manuscript additions, commentsetc. in pencil. ‘Epidemics’ and paginated in ink titled Marginal indications suggest that the course wasalso given in 1977. Photocopied manuscript notes on epidemics sent to Daniels by a University of Birmingham colleague, n.d. Miscellaneous unidentified manuscript notes. C.6-C.8 ‘Mechanics | H.E. Daniels Statistical Laboratory’. Contents of folder so inscribed. C.6, C.7 Papers found attached with a single treasury tag divided into two for ease of reference: manuscript notes in ink titled on the first page ‘Mechanics Pt | (mich. term) Calculus of Vectors’ and paginated 1-69, with someintercalated pages and manuscript additions, comments, instructions etc, in pencil. Marginal markings indicate that the notes were in use 1950-1954. C.8 Two short sequencesof notes, one with lists of students for 1951, 1953 and 1954. C.9-C.11 ‘Mechanics & Differential Equations’. Contents of folder so inscribed. The folder was also inscribed with Daniels’ address at Clare College Cambridge where he wasa student 1933-1935. However, the contents of the folder may date from his postwar return to Cambridge where he was a lecturer in mathematics, 1947-1957. Papers attached by a single treasury tag divided into three for ease of reference: manuscript notes in ink titled on first page ‘Mechanics and Differential Equations’ which is also headed with Daniels’ name. The notes are paginated 1-119 with manuscript additions, comments, instructions etc in ink and pencil. C.12-C.15 ‘Multivariate Analysis’. Contents of folder so inscribed. H.E. Daniels NCUACS 109/8/02 26 Lectures and publications C.12 C.13 C.14 Off-prints, 1947, 1952, 1962; miscellaneous manuscript notes; lists of students 1954-1956. Unpaginated sequences of manuscript notes. Papers attached with treasury tag: manuscript notesin ink titled ‘Multivariate Analysis’ and paginated with manuscript additions, comments, instructions, etc in pencil. 1-46, Marginal markings indicate that the notes were in use 1954-1965. C.15 Papers attached with treasury tag: manuscript notes paginated 44-51. 1p manuscript notes from theliterature. C.16 ’Multivariate Analysis (Short Course)’. Contents of folder so inscribed: duplicated notice of Sheffield University Department of Probability and Statistics for Special Lectures for PhD Students by Daniels on Multivariate Analysis; 31pp manuscript notes headed ’Multivariate Analysis’ and ‘H.E.D.’ N.d. but while Daniels was Professor of Mathematical Statistics at Birmingham, 1957-1978. C.17, C.18 ‘Nat.Sci Whole Subject’. Contents of folder so inscribed. ‘Natural Sciences Tripos Mathematics (Whole Subject) Statistics (Easter Term 1956)’. 37pp duplicated typescript course notes. C.18 ‘Natural Sciences Tripos, Mathematics (Whole Subject) and Mathematical Tripos (Part !) Statistics (Lent and Easter Terms 1959)’. Duplicated typescript course notes paginated 29-51. Miscellaneous duplicated typescript sheets re statistics courses, including problem sheet dated 25 November 1957. H.E. Daniels NCUACS 109/8/02 27 Lectures and publications C.19 ‘Nonparametric Inference’. Contents of folder so inscribed: sequences of notes attached with treasury tags for lecture course, n.d. but marginal markings indicate that the notes were used in 1971. C.20 ‘Prob.[ability] Theory Notes HED[aniels)’. Contents of folder so inscribed: manuscript notes for lecture course paginated 4-39, n.d. but marginal markings indicate that the notes were used in 1958. C.21, C.22 ‘Sequential Procedures’. Contents of folder so inscribed. C.21 Papers attached with treasury tag: lists of students for 1963-1965, 1968; book list; manuscript notesin ink titled on first page ‘Sequential Procedures’ and paginated 1-40, with manuscript additions, comments, etc.; variously paginated short sequencesof notes. C.22 Variously paginated short sequencesof notes attached with treasury tags. Sequence paginated 41-49 is a continuation of the sequence in the preceding folder. C.23, C.24 ‘Sequential Sampling and Inspection procedures’. Contents of folder so inscribed. C.23 C.24 Papers attached with treasury tag: manuscript notes with same title as folder paginated 1-15. N.d. Papers attached with treasury tag: manuscript notes titled ‘Girshik’s discrimination between two populations’ paginated 16-40; manuscript notes titled ‘Industrial Inspection (Extended Introduction)’ paginatedi-ii. C.25-C.30 ‘Southfield Course’. H.E. Daniels NCUACS 109/8/02 28 Lectures and publications Contents of folder so inscribed: papers for University of Birmingham Institute of Engineering Production courses, 1961-1966. Southfield was the name of the building that housed the Institute of Engineering Production. C.25 Course programme for University of Birmingham Institute of Engineering Production course on ‘Time-Series Analysis’, 10-14 July 1961. Daniels is listed as a course tutor. He gaveall the talks on the first day which formed a preliminary short course in standard statistical theory. He contributed to the rest of the course with talks on stochastic processes, stationary time-series and information theory. C.26 Course programme for University of Birmingham Institute of Engineering Production course on ‘Control and Optimisation of Industrial Processes’, 16- 24 March 1964. Daniels is analysis. listed as one of the speakers and talked about time-series C.27 C.28 Course programme for University of Birmingham Institute of Engineering Production course on ‘Statistics for Industry’, 6-17 April 1964. Daniels is listed as one of the speakers and talked about time-series. Course programme for University of Birmingham Institute of Engineering Production course on ‘Dynamical Programming and Optimal Control Theory’, 15-26 March 1965. Daniels is not listed as a speaker. Course programme for University of Birmingham Institute of Engineering Production course on ‘Statistics for Industry’, 29 March-6 April 1965. Daniels is listed as a speaker and talked abouttime-series. Course programme for University of Birmingham Institute of Engineering Production course on ‘Operational Research in Marketing, 17-28 January 1966. Daniels is regression analysis, and discriminant analysis. listed as a speaker and talked on time-series analysis and H.E. Daniels NCUACS 109/8/02 29 Lectures and publications Course programme for University of Birmingham Institute of Engineering Production course on‘Statistics for Industry’, 21 March-1 April 1966. Daniels is listed as a speaker and gavethe introductory lecture and talked abouttime-series. Manuscript notes etc including 11pp sequence headed ‘Estimation of the Spectrum of a stationary time series’. N.d. 1p data for time series course; 12pp manuscript notes headed ‘Session 19 Geometrical Techniques in Statistics’; and 6pp manuscript notes on ‘Statistics. Inference from observations (sample) to underlying situation’. N.d. C.29 C.30 C.31-C.34 ‘Stationary Proc[esse]s’. Contents of folder so inscribed. C.31 ‘Spectral Analysis and the Estimation of Linear Open Loop Transfer Functions’. 14pp duplicated typescript paper by G.M. Jenkins, Imperial College, London. The paper was read at a time-series symposium, Brown University, Rhode Island, USA, June 1962. Jenkins was a speaker (with Daniels) at a number of University of Birmingham Institute of Engineering Production courses in the 1960s (C.25- C.30). See also C.32. C.32 ‘An example of the Estimation of a Linear Open Loop Transfer Function’. 20pp duplicated typescript + figures and references by G.M. Jenkins, Imperial College, London. N.d., latest bibliographical reference 1962. C.33 Variously paginated and unpaginated sequencesof notes by Danielstitled ‘Stationary Processes’, ‘The Spectrum’ and ‘Stochastic Processes’. N.d. Probably related to Daniels’ courses and teaching on these subjects. H.E. Daniels NCUACS 109/8/02 30 Lectures and publications C.34 ‘Stationary processes’. Manuscript notes in ink paginated 47-78, with manuscript additions, comments, instructions etc in pencil. N.d but marginal markings indicate that the notes formed course material used by Daniels over an extended period 1954-1966. C.35-C.39 ‘Stationary Processes 1968-69 69-70’. Contents of folder so inscribed. C.35 C.36 C.37 C.38 C.39 ‘Recent Developments in Time-Series Analysis’ by C. Chatfield, University of Bath. 10pp typescript, n.d. latest bibliographical reference 1976. Papers attached by treasury tag: list of students for course on ‘Time Series 1978’, list of students for course on ‘Time Series and Prediction sp. 1977’; 43pp manuscript notesin ink headed ‘Stationary processes’ and ‘HEDaniels’ with manuscript inscription above the title ‘Time Series and prediction Mostly and instructions, etc in pencil. underscoring, comments about’, manuscript revision, Papers attached by treasury tag: variously paginated manuscript drafts in ink with manuscript revision in pencil. Includes marginal instructions in pencil for 1978 course. Papers attached by treasury tag: variously paginated manuscript drafts with manuscript revision and notesin pencil. Manuscript drafts of ‘Examples’for course. ‘Suggested Syllabus for Proposed Stochastic Processes Course’. typescript, n.d. 1p ‘Suggested Syllabus for Proposed Time-Series and Forecasting Course’. 1p typescript, n.d. H.E. Daniels NCUACS 109/8/02 31 Lectures and publications C.40-C.42 ‘Statistics I’. Contents of folder so inscribed. Papersoriginally attached with a single treasury tag divided into three for ease of reference: student list for 1956; manuscript notes in ink titled ‘Statistics I’ and dated ‘(mich. 1950)’ on thefirst page and paginated 1-101, with manuscript additions, comments, instructions, etc. in pencil. Marginal markings indicate that the notes were used 1950-1957. C.43-C.45 ‘Statistics II’. Contents of folder so inscribed. reference: manuscript notes Papersoriginally attached by a single treasury tag dividedinto three for ease of 1-102 with a few unpaginated pages of notes and a few paginated pages out of sequence, with manuscript additions and corrections in ink and pencil; studentlists for 1948-1950. in ink paginated C.46-C.48 ‘StatisticsII’. Contents of folder so inscribed. C.46, C.47 Papersoriginally attached by a single treasury tag divided into two for ease of reference: student lists for 1954 and 1957; list of practical statistics sessions for 1954; manuscript notes for course paginated 102-172 in ink, with some manuscript additions, comments, instructions etc in pencil. Marginal markings indicate that the notes were in use 1950-1957. C.48 Papers attached with treasury tag: variously paginated sequences of manuscript notes in ink, with some manuscript additions, comments, instructions etc. Marginal markingsindicate that the notes werein use as early as 1951. C.49-C.52 ‘Statistics 2/33 Autumn’. Contents of folder so inscribed. C.49-C.51 Papersoriginally attached by a single treasury tag divided into three for ease of reference. H.E. Daniels NCUACS 109/8/02 32 Lectures and publications C.49 Studentlists for ‘Advanced Statistics’ 1958-1959 - 1960-1961, ‘Statistics 2’ for 1961-1962 - 1966-1967, and course ‘2/33’ 1974-1975. C.50, C.51 Manuscript notes in ink titled ‘Statistics’ on first page and paginated 1-106 (not comments, instructions, etc in pencil. manuscript sequence) additions, a complete with Marginal markings indicate that the notes were in use 1958 - 1974-1975. 2 folders. C.52 Miscellaneous papers including duplicated sheet headed ‘Statistics 2 Tutorial 11 November 1965’. C.53-C.57 ‘Statistics 2/32 Spring’. Contents of folder so inscribed. C.53 Papers attached by treasury tag: manuscript notes in ink paginated 107-170, with manuscript additions, comments, instructions, etc. in pencil. Marginal markings indicate that the notes were in use 1959-1975. C.54-C.57 Papers attached by treasury tags: short sequences of variously paginated and unpaginated manuscript notes. 4 folders. C.58, C.59 ‘Statistics III’. Contents of folder so inscribed. C.58 Papers attached with treasury tag: studentlists 1948-1950; book list 1948; manuscript notes in ink titled ‘Statistical Inference’ on the first page, dated Easter term 1948 and paginated 1-51, with manuscript additions, comments, instructions for the delivery of the course in years subsequentto 1948, etc., in different coloured inks and pencil. C.59 Miscellaneous pages of manuscript notes. H.E. Daniels NCUACS 109/8/02 33 Lectures and publications C.60, C.61 ‘Statistics & Theory of Errors (Nat.Sci Half Subject)’. Contents of folder so inscribed. C.60 C.61 Papers attached with treasury tag: studentlists for 1956; manuscript notes in ink titled ‘Statistics (and theory of errors)’ and paginated 1-21a, with manuscript additions, comments, instructions, etc., in pencil. Marginal markings indicate the notes were usedin 1955 and 1956. Papers attached with treasury tag: manuscript notes in ink paginated 22-43, with manuscript additions, comments, instructions, etc., in pencil; student lists for unidentified year or years. Marginal markings indicate the notes were used in 1955 and 1956. C.62, C.63 ‘Statistics (Math. Subs)’. Contents of folder so inscribed. C.62 C.63 List of students for unidentified year; course outline for ‘Whole-Subject Mathematics Statistics Syllabus’; manuscript notes in ink titled ‘Statistics (Math. additions, commentsandinstructionsetc., in pencil. Subsidiary)’ and manuscript paginated 1-15, with Marginal markings indicate that the notes were used in 1957. Miscellaneous notes including ‘revision’; course outline; lists of students 1957, 1958. C.64, C.65 ‘Stats Subs’. Contents of folder so inscribed. C.64 C.65 Papers attached with treasury tag: manuscript notes in ink paginated 16-66, with manuscript additions. Manuscript markings indicate that the notes were used in 1957 and 1958. Papers attached with treasury tag: manuscript notes in ink paginated 67- 113; manuscript problems. /.. H.E. Daniels NCUACS 109/8/02 34 Lectures and publications Manuscript markings indicate that the notes were usedin 1958. Duplicated typescript ‘Mathematical Statistics Problem Sheet 9’ dated 17 February 1958. C.66 ‘Stochastic Processes’. Contents of folder so inscribed. 3pp duplicated typescript outline and references for four lectures on ‘Statistical Inference for Markov Chains’ with manuscript inscription on the first page from Joe Gani to Daniels ‘For your information - a set of lectures I've given at the Stat Lab, Manchester....’ latest bibliographical reference, 1956. N.d., 34pp manuscript notes in ink titled ‘Statistics - Stochastic Processes’ and dated ‘Easter Term ‘47’ with manuscript additions in pencil. C.67, C.68 ‘Stochastic Processes’. Contents of folder so inscribed. C.67 C.68 Papers attached with treasury tag: student lists for a number of years between 1954 and 1966; 46pp manuscript notes in ink with some marginal notes in pencil. 10pp duplicated manuscript for M.Sc. in Mathematical Statistics titled ‘Summary of Basic Probability’. N.d. C.69-C.71 ‘Stochastic Processes 1968-69 69-70 70-71 71-72’. Contents of folder so inscribed. C.69, C.70 Papers, originally attached with a single treasury tag divided into two for ease of reference: studentlists 1968-1969 - 1971-1972; manuscript notes in ink titled ‘Stochastic Processes’ and paginated 1-70, with manuscript additions, comments, instructions, etc. in pencil. Marginal markings indicate that the notes were in use 1968-1972. H.E. Daniels NCUACS 109/8/02 35 Lectures and publications C.71 3pp manuscript notes (not by Daniels). Duplicated manuscript sheets of examples and solutions. C.72-C.94 University teaching by others 1949-1988 Analphabetical sequence by name of colleague. C.72 F.J. Anscombe Contents of folder inscribed ‘Design of Experiments F.J. Anscombe’. Manuscript notes by Daniels titled ‘Design of Experiments’ and headed on the first page with Anscombe’s nameand ‘Lent term 1949’. Paginated 1-32. C.73, C.74 A.J. Baddeley Contents of folder inscribed ‘Adrian’s lectures’. C.73 C.74 8pp duplicated manuscript notes titled ‘Random Measures and Point Processes’. 3pp duplicated manuscript notestitled ‘Examples’. Duplicated typescript notes including ‘Stochastic geometry Part Ill lectures notes by A.J. Baddeley Michaelmas 1982’. C.75-C.78 M.S. Bartlett folder ‘North Contents of Carolina Lectures on Stochastic Processes’ divided into four for ease of reference: manuscript notes by Daniels titled ‘Stochastic Processes by M.S. Bartlett’ and paginatedi-ii, 1-99. inscribed C.79-C.81 L. Billard Contents of folder inscribed ‘Non-parametric methodsL.Billard 1970’. C.79 University of Birmingham examination paper 1971. H.E. Daniels NCUACS 109/8/02 36 Lectures and publications C.80 C.81 Duplicated manuscript notes: first page book list headed ‘Lynne Billard’ followed by sequencetitled ‘Non-Parametric Methods’ paginated 1-39. Duplicated manuscript notestitled ‘Measures of Correlations and paginated 1-33. C.82 E.L. Lehmann Contents of folder inscribed ‘Statistical Inference (Berkeley notes) |. Testing hypotheses’: testing Hypotheses’ with Lehmann’s nameat the head ofthe first page. Paginated 1-30. N.d. by Daniels manuscript notes titled ‘Theory of C.83 [D.V.] Lindley Contents of folder inscribed ‘Foundations of Probability Theory Lindley’: 30pp duplicated manuscript notes (not in Daniels’ hand) with additions by Daniels. N.d. C.84-C.94 D. Williams C.84-C.88 Contents of folder inscribed ‘D.W. lectures’. C.84 C.85 C.86 C.87 Duplicated manuscript notes titled Ill Course : The Calculus of Brownian Motion’ comprising course outline, references, example sheet and sequence paginated 1-19. N.d. but references include the following note: ‘Much of the course is based on the not yet completed book (to appear towards the end of 1986)’. ‘Part Manuscript notes paginated 1-23. In Daniels’ hand. Principally duplicated manuscript notes including sequences on martingales and example sheet headedwith Williams’sinitials. Photocopyof article by Williams on the techniquesof differential geometry. N.d., latest bibliographical reference 1980. H.E. Daniels NCUACS 109/8/02 C.88 37 Lectures and publications manuscript Duplicated developments, results, Mathematical reference, 1980. notes lecture recent applications’ by A.N. Shirayev of the Steklov bibliographical ‘Martingales: titled Institute, Moscow, USSR. N.d., latest C.89, C.90 Contents of folder inscribed ‘D. Williams, Shirayev, Kac’. A second copyof the notes by Shiryayev on martingales at C.88 has not been retained here. C.89 6pp duplicated manuscript notes titled ‘Stochastic mechanics from a point source’ and headedonthefirst page with the namesof Williams and Aubrey Truman. Three photocopied pages from ‘D.W. book’. 13pp duplicated typescript notes titled ‘Probability Methods in Potential Theory’. by Professor Mark Kac at These are described on thetitle page as ‘notes taken from a lecture course given Conference on Mathematical Probability held at the Durham Colleges, 28th March to 11th April, 1963 under the auspices of the London Mathematical Society’. Instructional the C.90 Typescript notes headed ‘Chapter II Potential Theory in Three Dimensions M. Kac’. Paginated [1]-41. N.d. C.91-C.94 Contents of folder inscribed ‘D.W. Probflux etc’. C.91 C.92 101pp duplicated typescript notes by C.J. Preston on ‘Random Fields’ for Part Ill course, Cambridge, Michaelmas Term 1975. Two sets of duplicated manuscript notes by D. Williams on ‘Brownian motion and the Riemann function’ for talk to the Number Theory Seminar at Cambridge, 10 May 1988. Typescript ‘Notes on Nelson’s Stochastic Mechanics by J.R. Norris’. N.d. Manuscript notes on computer print-out paper dated November 1987 on verso. H.E. Daniels NCUACS 109/8/02 38 Lectures and publications C.93 Photocopy of 1p manuscript note by Daniels beginning ‘David: Here’s my way of doing it Signed ‘Henry’ and dated ‘26/10/87’. - hope it’s the right problem!’ 3pp duplicated manuscript notes titled ‘A Markovian Rainfall Model ??’ signed ‘David Williams’ and dated ‘27.2.88’. 2pp and 4pp duplicated manuscript notes by Williams on ‘Local time and probability flux at a space-time boundary’. N.d. C.94 Photocopies of published papers, 1976, 1979 and n.d. Typescript paper by Williams and T. Chan on ‘An “Excursion” Approach to an Annealing Problem’, n.d., latest bibliographical reference 1987. C.95-C.164 Seminar and conference papers 1990-2000 C.95-C.139 Chronological sequence C.140-C.164 Undated C.95-C.139 Chronological sequence C.95-C.97 Uppsala 1990 Daniels gave a paper (with G.A. Young) on ‘Saddlepoint approximation for the studentized mean, with an application to the bootstrap’. C.95 Contents of folder inscribed ‘Uppsala 1990’. Correspondence and papers re arrangements for Daniels’s attendance at the 2nd World Congress of the Bernoulli Society for Mathematical Statistics and Probability and 53rd Annual Meeting of the Institute of Mathematical Statistics, Uppsala, Sweden, 13-18 August 1990. 1989-1990. C.96, C.97 Contents of folder inscribed ‘Uppsala paper Studentized mean Bootstrap bias’. H.E. Daniels NCUACS 109/8/02 39 Lectures and publications C.96 Eleven transparenciestitled ‘Studentized mean’ and also headed ‘H.E.D and G.A. Young’ onthefirst transparency. 1p manuscript notes. C.97 10 transparenciestitled ‘Bootstrap bias with small data sets’. C.98, C.99 ‘Cornell 1990’ Contents of folder so inscribed. C.98 C.99 15 transparenciestitled ‘Classical bundle of fibres’ + figures. Typescript draft of paper on ‘Percolation Breakdown Models’ by S.L. Phoenix and R.L. Smith with covering note from Smith, 13 July 1990. 1p manuscript notes by Daniels. Off-print by Daniels, 1989. C.100-C.102 Barcelona 1991 Contents of folder inscribed ‘Anomalous SP transparencies’. C.100, C.101 C.100 C.101 Transparencies approximations’, Barcelona, September 1991. Daniels by for talk on ‘Anomalous saddlepoint Title page and transparencies numbered 1-12. Transparencies numberedI-IV. C.102 Brief correspondencearising, 1991. C.103-C.106 Oberwolfach 1991 H.E. Daniels NCUACS 109/8/02 40 Lectures and publications C.103-C.105 Contents of folder inscribed ‘Nearly exact SP Transparencies’. C.103 C.104 C.105 Title page for talk on ‘Nearly exact saddlepoint approximations’ and transparencies numbered 1-13. Transparencies numbered 11-12, i-ii and tables 2-6. Duplicated manuscript notestitled ‘ “Nearly exact” S.P. approximations’ and paginated 1-7. 1p duplicated manuscript notes. Manuscript notes paginated 1-[8]. C.106 Duplicated manuscript notestitled ‘Nearly exact saddlepoint approximations’ paginated 1-13 + tables. C.107, C.108 Edmonton 1992 Contents of folder inscribed ‘Edmonton Slides Copies of paper Non-classical bundles’. C.107 Duplicated manuscript notes for talk by Daniels titled ‘The distribution of breaking strength and extension of non-classicalfibre bundles’. C.108 Transparencies: title page and numbered3, 6, 7 and 7a. C.109 Cambridge 1993 Contents of folder so inscribed ‘Cambridge Epidemics 19993’. Transparencies for deterministic numbered 1-15 andfigure. talk epidemic waves’, January 1993: title titled ‘A perturbation approach to non-linear page, sequence H.E. Daniels NCUACS 109/8/02 A Lectures and publications C.110-C.112 ‘Turin 1993’ Contents of folder so inscribed. A photocopy of Daniels and T.H.R. Skyrme’s paper ‘The maximum of a random walk whose mean path has a maximum’ (Adv Appl. Prob. 17, 1985) which wasfound with the transparencies has not been retained here. C.110 Transparencies numbered 1-4. First transparency is headed‘First crossing time to a parabolic boundary’. C.111 Transparencies numbered 5-9. C.112 Transparencies numbered 5-10 + references. C.113, C.114 Warwick 1993 Contents of folder inscribed ‘Warwick’. C.113 Duplicated manuscript notes for talk titled ‘Local Brownian motion and the breaking strengths of bundlesoffibres’. C.114 Transparencies: title page, sequence numbered 1-14, references etc. C.115-C.118 North Carolina 1994 Contents of folder inscribed ‘North Carolina June 1994’. C.115 C.116 Duplicated approximation’. manuscript notes for paper titled ‘An improved tangent Duplicated manuscript notes for paper titled ‘Approximatingthefirst crossing time density for a curved boundary’, Symposium on Future Directions in Robust Methods and Data Analysis, Princeton, June 1994. C.117, C.118 Transparencies. 2 folders. H.E. Daniels NCUACS 109/8/02 42 Lectures and publications C.119, C.120 Oberwolfach 1994 Contents of folder inscribed ‘Oberwolfach 1994 Evolving deterministic epidemic’. C.119 Manuscript notes for paper titled ‘The evolving deterministic simple spatial epidemic’. Paginated 1-[16] + references. C.120 Transparencies numbered 1-16 + references. C.121-C.126 Ascona 1995 C.121-C.123 Contents of folder inscribed ‘Ascona March 1995’. C.121 Correspondence re arrangements for workshop on new approximation techniquesfor statistical inference, Ascona, Switzerland, 20-24 March 1995. 1994-1995. C.122 Abstracts. C.123 Untitled manuscript notes attached by treasury tag. C.124-C.126 Contents of folder inscribed ‘Ascona copies’. C.124 C.125 C.126 Duplicated manuscript notes for Ascona talk on ‘Saddlepoint approximation - somehistorical remarks and a conjecture about “nearly exact” cases’. Title page, abstract, sequences paginated 1-10 and 1-2, tables. Transparencies: title page, abstract and sequence numbered 1-10. Transparencies: sequence numbered1-2 and tables. C.127, C.128 Aarhus 1995 Contents of folder inscribed ‘Aarhus August 1995’. H.E. Daniels NCUACS 109/8/02 43 Lectures and publications C.127 Duplicated manuscript notes for Daniels’ talk ‘Approximating the first crossing time density for a curved boundary’: title page, sequence paginated 1-13 and references. C.128 Transparencies: title page, sequence numbered 1-8. C.129, C.130 Bath 1995 Contents of folder inscribed ‘Alternative to SP approx Bath 1995’, divided into two for ease of reference. Transparencies approximation’: title page, sequence numbered 1-20 andfigures. alternative titled for talk ‘An to the saddlepoint C.131, C.132 Birmingham 1996 C.131 Contents of folder inscribed ‘Birmingham 1996’. Duplicated manuscript notes for talk titled ‘Approximating the density of the first crossing time to a curved boundary’: title page, sequence paginated 1- 14 and references. 1p untitled manuscript notes. C.132 Contents of folder inscribed ‘B’ham talk on curved boundaries’. A second copy of the duplicated notes for Daniels’ talk at Birmingham (see C.131 above) has not been retained with the papers. Variously paginated sequences of manuscript notes. C.133, C.134 Kingston 1996 Contents of folder inscribed ‘Permutation expansions (Kingston)’. C.133 Duplicated manuscript notes for Kingston [? Ontario, Canada], 1996. talk on ‘Permutation expansions’ at C.134 ‘Transparencies numbered 1-16. H.E. Daniels NCUACS 109/8/02 44 Lectures and publications C.135, C.136 Toronto 1996 Contents of folder inscribed ‘Approx f.c.d. (Toronto)’, divided into two for ease of reference. Transparencies for talk on ‘Approximating the density of the first crossing time to a curved boundary’ at Toronto [Ontario, Canada], 1996: title page, sequence numbered 1-16, references andfigure. C.137-C.139 Ascona 2000 C.137 Contents of folder inscribed ‘Ascona’. Correspondencere arrangements, information etc for workshop on inference and asymptotics, Ascona, Switzerland, 9-14 July 2000. 1999. C.138, C.139 Contents of untitled folder. C.138 1p manuscript abstract for talk on ‘Studentization using the mean deviation’ by ‘H.E. Daniels (joint work with G.A. Young)’. Inscribed ‘For meeting at Ascona’ and ‘Sent 13.04.00’. Manuscript notes for talk on ‘Studentization using the mean absolute deviation’ by Daniels and Young. Paginated 1-16 (two page 13s). Typescript draft ‘Studentization using the mean absolute deviation’ by Daniels and Young. Paginated 1-7. C.139 Data and duplicated and printed background material. C.140-C.164 Undated Alphabetical sequence byfolder title. The contents of an untitled folder are at the end of the sequence. C.140 ‘Bootstrap’. Contents of folder so inscribed. Transparencies numbered 1-3. H.E. Daniels NCUACS 109/8/02 45 Lectures and publications C.141-C.143 ‘Bundles (Edinburgh)’. Contents of folder so inscribed. C.141, C.142 Contents of envelope (found in the folder) inscribed ‘ “Bundle”talks’. C.141 C.142 C.143 12pp duplicated manuscript notes (with manuscript annotations) + figure for talk titled ‘Commontype of maximum problem’. N.d. 8pp duplicated manuscript notes (with manuscript annotations) headed on first page ‘ “Classical” bundle of n fibres’. N.d. Transparencies numbered 2-12 + figure. First transparency in the sequence headed ‘ “Classical” bundle of n fibres’. Transparency numbered ‘0’ and headed ‘Common type of maximum problem’. C.144 ‘Generalised Bundles Edinburgh’. Contents of folder so inscribed. Transparencies numbered 1-10. First transparency in the sequence headed ‘Random walk’. C.145-C.149 ‘Local B.M. and Max. (Bundles)’. Contents of folder so inscribed. C.145 1p typescript ?abstract by Daniels titled ‘The effect of variable fibre thickness on bundle strength’. N.d., latest bibliographical reference 1982. 3pp typescript by Daniels titled ‘The Distribution of Bundle Strength under General Assumptions’. N.d., latest bibliographical reference 1985. C.146 Duplicated manuscript notesfor talk titled ‘The maximum, and time to reach it, of a random walk whose mean path has a maximum (with an application to epidemics?)’. Inscribed ‘Oxford Princeton’ at the head of thefirst page. Paginated 1-10 + figures. N.d., latest bibliographical reference 1985. H.E. Daniels NCUACS 109/8/02 46 Lectures and publications C.147 Duplicated manuscript notes for talk titled ‘Common type of maximum problem’. Paginated 1-12 + figures. N.d. C.148 Transparencies numbered 1-8. C.149 Transparencies numbered 1-13. C.150, C.151 ‘Max Ep’. Contents of folder so inscribed. C.150 Typescript draft of talk on ‘The time of occurrence of the maximum of a closed epidemic’, n.d., latest bibliographical reference 1989. C.151 Transparencies numbered 1-12 + figures. C.152-C.155 ‘RSS Buffet’. Contents of folder so inscribed. C.152 C.153 C.154 Abstract for talk on ‘Thefirst crossing time density for Brownian Motion with a perturbed linear boundary’, n.d., latest bibliographical reference 1999. Figure. Manuscript notes titled Motion] to a curved boundary’ paginated 1-7. ‘First crossing time density for B.M. [Brownian Untitled variously paginated and unpaginated sequences of manuscript notes. Photocopyof undatedletter from Daniels to ‘Alastair’. C.155 Transparencies numbered 1-8. H.E. Daniels NCUACS 109/8/02 47 Lectures and publications C.156-C.158 ‘SP lectures + Tail Probs + Max’. Contents of folder so inscribed. C.156 Variously paginated duplicated manuscript notes on saddlepoint and other approximations. C.157 Manuscript notes for talks on saddlepoint and other approximations. C.158 Photocopies of papers by others. C.159-C.164 Contents of untitled folder. C.159 C.160 Untitled sequences of manuscript notes. Variously paginated duplicated manuscript notes attached with treasury tag. First page headed ‘Exponential Family’. N.d. but refers to ‘discussion of [D.R.] Cox 1988’ at the head ofthefirst page. C.161-C.164 Variously numbered sequencesof transparencies. 4 folders. C.165-C.181 PUBLICATIONS 1932-2000 C.165 Numberedlist of 62 publications by Daniels covering the period 1932-1998. C.166-C.178 Off-prints etc of Daniels’ publications, 1932-2000. C.166 1930s. C.167 1941-1944. H.E. Daniels NCUACS 109/8/02 48 Lectures and publications C.168 1945-1950. C.169 1951-1952. C.170 1954-1958. C.171 1960-1961. C.172 1962-1963. C.173 1966-1967. C.174 1969-1971. C.175 1972-1974. C.176 1975-1978. C.177 1980-1989. C.178 1990-2000. C.179-C.181 Miscellaneous correspondence and papers re publications by Daniels and G.A. Barnard, 1965-2000. C.179 ‘Bicycle Theory’. Contentsof folder so inscribed. H.E. Daniels NCUACS 109/8/02 49 Lectures and publications Manuscript copy of letter from Daniels to ‘Frank’ enclosing ‘reprint of an article published around 1960 in a student magazine, on a topic of mutual concern some thirty years ago. ... | hope this will ultimately be my most influential paper’. N.d. but paper used for copy of letter dated on verso 1982. 2pp typescriptarticle titled ‘How to ride a bicycle’ by Daniels. The article is identified as ‘From Khiva, University of Birmingham student magazine (ca. 1960)’. Copy of the University of Birmingham Mathematical Society Magazine The Mobius Strip, May 1965. Contents include ‘Howto ride a bicycle’ by Daniels. Photographof Daniels with ?colleagues and bicycles. 1p photocopy from Cambridge University publication. C.180 ‘G.A. Barnard’. Contents of folder so inscribed. Typescript drafts of papers by Barnard. Letter from Barnard to Daniels, 17 August 1999. C.181 ‘George Barnard’. Contents of folder so inscribed. Typescript draft of paper by Barnard. Twoletters from Barnard to Daniels, 30 March 2000 and n.d. H.E. Daniels NCUACS 109/8/02 50 SECTION D CORRESPONDENCE D.1-D.11 With the exception of the contents of D.1, all the correspondence presentedin this section was found in Daniels’ folder inscribed ‘Letters 1992, 1993’ which contained correspondence 1992-1999 and n.d. D.1 1981. Brief correspondence re Golden Jubilee celebrations of the Indian Statistical Institute, Calcutta, 1981. D.2-D.11 Contents of folder inscribed ‘Letters 1992, 1993’: correspondence 1992- 1999 and n.d. The sequence is predominantly scientific photocopies and manuscript drafts of Daniels’ replies. in character and includes D.2 D.3 D.4 D.5 D.6 D.7 D.8 D.9 1992 January-June. 1992 July-August. 1993. 1994 March-July. 1994 September-December. Includes manuscript draft by Daniels dated 1984 which may be a mistake for 1994. 1995-1996. 1997-1999. N.d. H.E. Daniels NCUACS 109/8/02 51 Correspondence D.10, D.11 References and recommendations, 1992-1997. Principally re papers and travel grants. D.10 D.11 1992-1994. 1996-1997. 52 H.E. Daniels NCUACS 109/8/02 INDEX OF CORRESPONDENTS AITCHISON, John AKAHIRA, Masafumi ANNALS OF STATISTICS APPLIED PROBABILITY BALL, Frank G. BARNARD, George A. BARTHOLOMEW, David J. BUTLER, Ronald W. CLARE COLLEGE, CAMBRIDGE COX, Sir David Roxbee CRITCHLEY, Frank CROWDER, Martin DAVISON, Anthony THE DECCA NAVIGATOR COMPANY LTD DODGE, Yadolah EDWARDS, Anthony ENCYCLOPEDIA OF STATISTICAL SCIENCES FADDY, Malcolm FINNEY, David J. FREEDMAN, Fardijah GANGOLLI, V.D. GOOD, I.J. ‘Jack’ D.2 D.5 D.10 B.7, B.8 D.2, D.6, D.11 C.180, C.181, D.7 B.1 D.7 D.8 B.14 D.6 See D.8 C.137 B.25 D.7 D.4 D.6 See D.8 D.4 D.4 D.1 D.2 HAMPEL,Frank R. See C.121 H.E. Daniels NCUACS 109/8/02 53 Index of correspondents HARADA,Akinobu HEARLE, J.W.S. HEPPLE, Bob Alexander HILL, |.D. HOSOYA. Yuzo INDIAN STATISTICAL INSTITUTE ISHAM, Valerie JONES, M.C. KENDALL,Wilfred KERSTING, Goetz KNIGHT, Keith LAWRANCE, A.J. LEFEVRE, Claude LERCHE, Hans Rudolf LUDWIG, Donald A. MOLLISON, Denis MORGENTHALER, Stephan NATIONAL SCIENCE FOUNDATION D.7 D.6 D.8 D.8 C.102 D.1 D.4 D.5 D.4 D.2 D.7 D.3 See D.8 D.6 See also D.7 B.77 C.95 See C.121 D.10 O’NEILL,Phillip D. D.7, D.10, D.114 RACHEV, S.T. READ, Campbell B. REID, Nancy RENSHAW, Eric D.5 D.6 D.7 D.7 H.E. Daniels NCUACS 109/8/02 54 Index of correspondents RICCIARDI, Liugi M. RONCHETTI, Elvezio ROUTLEDGE,Rick SIEGMUND, David O. SINCLAIR, Alison SMITH, Richard L. SNODGRASS, Anthony THE STATISTICAL DINNER CLUB STODDART, James Fraser STOEV,Stilian UNIVERSITY GRANTS COMMITTEE D.10 C.121 D.3 See D.6 D.8 B.5, B.7, B.8, D.3 D.7 D.8 See D.7 D.8 B.52