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Peter Whittle (mathematician)

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Peter Whittle (mathematician)
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{{Short description|New Zealand mathematician and statistician (1927–2021)}}{{for|the British politician|Peter Whittle (politician)}}{{EngvarB|date=August 2021}}{{Use dmy dates|date=August 2021}}







factoids
| birth_place = Wellington, New Zealanddf=yes08192727}}| death_place = | spouse = Käthe Blomquist (m. 1951)| children = 6| field = Statistics Applied mathematics Operations research Control theoryUppsala University (1949–53) Department of Scientific and Industrial Research (New Zealand)>DSIR, New Zealand (1953–1959) University of Cambridge (1959–1961) University of Manchester (1961–67)University of Cambridge (1967–94)| alma_mater = University of New Zealand (MSc 1948)Uppsala University (PhD 1953)| doctoral_advisor = Herman WoldFrank Kelly (professor)>Frank Kelly Sir John Kingman (initial studies)| thesis_title = Hypothesis Testing in Time Series Analysis| thesis_year = 1951| notable_students = Sir John KingmanMultivariate statistics>Multivariate Wold theorem in time series analysis Reproducing kernel Hilbert space techniques Whittle likelihood Statistical hypothesis testing in time series analysis Optimal control Queuing theory Flow network>Network flows Kiefer-Wolfowitz theorem in Bayesian experimental design| author_abbrev_bot = | author_abbrev_zoo = Fellow of the Royal Society (UK) (1978) Fellow of the Royal Society of New Zealand Guy Medal (Silver, 1966) (Gold, 1996) Sylvester Medal (1994) John von Neumann Theory Prize (1997) Frederick W. Lanchester Prize (1986)}}| website = | signature = }}Peter Whittle (27 February 1927{{r|nzms}} – 10 August 2021) was a mathematician and statistician from New Zealand, working in the fields of stochastic nets, optimal control, time series analysis, stochastic optimisation and stochastic dynamics. From 1967 to 1994, he was the Churchill Professor of Mathematics for Operational Research at the University of Cambridge.{{ref|home}}{{r|history6}}

Career

Whittle was born in Wellington. He graduated from the University of New Zealand in 1947 with a BSc in mathematics and physics and in 1948 with an MSc in mathematics. {{r|nzms}}He then moved to Uppsala, Sweden in 1950 to study for his PhD{{r|nzms}} with Herman Wold (at Uppsala University). His thesis, Hypothesis Testing in Time Series, generalised Wold's autoregressive representation theorem for univariate stationary processes to multivariate processes. Whittle's thesis was published in 1951{{ref label|home|2|a}}. A synopsis of Whittle's thesis also appeared as an appendix to the second edition of Wold's book on time-series analysis. Whittle remained in Uppsala at the Statistics Institute as a docent until 1953, when he returned to New Zealand.In New Zealand, Whittle worked at the Department of Scientific and Industrial Research (DSIR) in the Applied Mathematics Laboratory (later named the Applied Mathematics Division).In 1959 Whittle was appointed to a lectureship in Cambridge University.{{r|nzms}}{{r|history4}} Whittle was appointed Professor of Mathematical statistics at the University of Manchester in 1961.{{r|nzms|history6|informs}} After six years in Manchester, Whittle returned to Cambridge as the Churchill Professor of Mathematics for Operational Research, a post he held until his retirement in 1994. From 1973, he was also Director of the Statistical Laboratory, University of Cambridge.{{r|history7}}He was a fellow of Churchill College, Cambridge. He died in Cambridge, England.

Recognition

Whittle was elected a Fellow of the Royal Society in 1978,{{r|frs}} and an Honorary Fellow of the Royal Society of New Zealand in 1981.{{r|frsnz}} The Royal Society awarded him their Sylvester Medal in 1994 in recognition of his "major distinctive contributions to time series analysis, to optimisation theory, and to a wide range of topics in applied probability theory and the mathematics of operational research".{{r|frs}} In 1986, the Institute for Operations Research and the Management Sciences awarded Whittle the Lanchester Prize for his book Systems in Stochastic Equilibrium ({{isbn|0-471-90887-8}}) and the John von Neumann Theory Prize in 1997{{r|informs|}} for his "outstanding contributions to the theory of operations research and management science".{{r|lanchester}}He was elected to the 2002 class of Fellows of the Institute for Operations Research and the Management Sciences.

Personal life

In 1951, Whittle married a Finnish woman, Käthe Blomquist, whom he had met in Sweden. The Whittle family has six children.{{r|nzms}}

Bibliography

Books

  • BOOK, Whittle, P., Hypothesis testing in times series analysis, Almqvist & Wiksells Boktryckeri AB, Uppsala, 1951,
  • BOOK, Prediction and Regulation, Whittle, P., English Universities Press, 1963, 0-8166-1147-5,
  • :Republished as: BOOK, Prediction and Regulation by Linear Least-Square Methods, Whittle, P., University of Minnesota Press, 1983, 0-8166-1148-3,
  • BOOK, Probability (Library of university mathematics), Whittle, P., Penguin, 1970, 0-14-080085-9,
  • :Republished as: BOOK, Probability,weblink registration, Whittle, P., John Wiley and Sons Ltd, 30 April 1976, 0-471-01657-8,
  • BOOK, Optimization Under Constraints, Whittle, P., John Wiley and Sons Ltd, 28 July 1971, 0-471-94130-1, registration,weblink
  • BOOK, Optimization Over Time, Whittle, P., John Wiley and Sons Ltd, 4 August 1982, 0-471-10120-6,
  • BOOK, Optimization Over Time: Dynamic Programming and Stochastic Control, Whittle, P., John Wiley and Sons Ltd, April 1983, 0-471-10496-5,
  • BOOK, Systems in Stochastic Equilibrium, Whittle, P., John Wiley and Sons Ltd, 4 June 1986, 0-471-90887-8,
  • BOOK, Risk-Sensitive Optimal Control, Whittle, P., John Wiley and Sons Ltd, April 1990, 0-471-92622-1,
  • BOOK, Probability Via Expectation, 3rd, Whittle, P., Springer Verlag, 14 May 1992, 0-387-97758-9,
  • :Republished as: BOOK, Probability Via Expectation, 4th, Whittle, P., Springer, 20 April 2000, 0-387-98955-2,
  • BOOK, Optimal Control: Basics and Beyond,weblink registration, Whittle, P., John Wiley and Sons Ltd, 18 July 1996, 0-471-95679-1,
  • BOOK, Neural Nets and Chaotic Carriers, Whittle, P., John Wiley and Sons Ltd, 8 December 1998, 0-471-98541-4,
  • BOOK, Networks: Optimisation and Evolution, Whittle, P., Cambridge University Press, 31 May 2007, 9780521871006,

Selected articles

  • JOURNAL, Whittle, P., 2983728, The analysis of multiple stationary time series, Journal of the Royal Statistical Society, Series B, 15, 1, 1953, 125–139
,
    • Reprinted with an introduction by Matthew Calder and Richard A. Davis as BOOK, Whittle, P., The analysis of multiple stationary time series, Breakthroughs in statistics, Volume III, 141–169, Samuel Kotz and Norman L. Johnson, Springer Series in Statistics: Perspectives in Statistics, Springer-Verlag, New York, 1997, 0-387-94988-7
,
  • JOURNAL, Whittle, Peter, On stationary processes in the plane, Biometrika, 1954, 41, 3–4, 434–449, 10.1093/biomet/41.3-4.434
,
    • Reprinted as BOOK, Whittle, Peter, On stationary processes in the plane, Biometrika: One Hundred Years
David R. Cox>D. R. Cox, Oxford University Press, 2001, 0-19-850993-6, 293–308,
  • JOURNAL, Optimum preventative sampling, P., Whittle, Journal of the Operations Research Society of America, 2, 2, May 1954, 197–203, 166605, 10.1287/opre.2.2.197
,
  • JOURNAL, Whittle, P., Some general points in the theory of optimal experimental design, Journal of the Royal Statistical Society, Series B, 35, 1973, 123–130
,
  • JOURNAL
FIRST=PETER, 1980, Multi-armed bandits and the Gittins index volume=42, 2, 143–149,
  • JOURNAL
, Peter, Whittle, Arm-acquiring bandits, Annals of Probability, 9, 284–292, 1981, 10.1214/aop/1176994469, (Available online)
  • JOURNAL
, Peter, Whittle, Restless bandits: Activity allocation in a changing world, Journal of Applied Probability, 25A, Special volume: A celebration of applied probability (A festschrift for Joe Gani), 287–298, 974588, 1988, 10.1017/s0021900200040420,
  • JOURNAL, Whittle, P., Likelihood and cost as path integrals (With discussion and a reply by the author), Journal of the Royal Statistical Society, Series B, 53, 1991, 3, 505–538
,
  • JOURNAL, Whittle, Peter, Applied probability in Great Britain (50th anniversary issue of Operations Research), Oper. Res., 50, 2002, 1, 227–239, 10.1287/opre.50.1.227.17792,
,

Biographical works

  • BOOK, Frank Kelly (mathematician), F. P., Kelly, 1994, Probability, statistics and optimisation: A Tribute to Peter Whittle, Chicheter, John Wiley & Sons, 0-471-94829-2
,
    • Peter Whittle. 1994. "Almost Home". pages 1–28.
    • Anonymous. "Publications of Peter Whittle". pages xxi–xxvi. (A list of 129 publications.)
    • Anonymous. Biographical sketch (untitled). page xxvii.

References

}}

External links

  • Webpage of the Cambridge Statistical Laboratory
  • WEB,weblink Peter Whittle, Mathematics Genealogy Project, Mathematics Genealogy Project, 3 January 2005,
  • WEB,weblink Peter Whittle, Mathematical Reviews, Mathematical Reviews, 14 May 2010,
  • INFORMS: Biography of Peter Whittle from the Institute for Operations Research and the Managerial Sciences
{{John von Neumann Theory Prize recipients}}{{Guy Medal|Gold| |state=collapsed}}{{statistics|state=collapsed}}{{Authority control}}

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