Thomas S. Ferguson
Thomas Shelburne Ferguson (born December 14, 1929) is an American mathematician and statistician. He is a professor emeritus of mathematics and statistics at the University of California, Los Angeles.[1]
Education and career
Ferguson was born in Oakland, California and was raised nearby in Alameda, California. He majored in mathematics at the University of California, Berkeley, and completed his Ph.D. there in 1956.[1] His dissertation had two separately-titled parts, On Existence of Linear Regression in Linear Structural Relations and A Method of Generating Best Asymptotically Normal Estimates with Application to the Estimation of Bacterial Densities; it was supervised by Lucien Le Cam.[2]
After another year teaching at Berkeley, he moved to the University of California, Los Angeles in 1957.[1]
Contributions
Ferguson is the author of:
- Mathematical Statistics: A Decision Theoretic Approach (Academic Press, 1967)[3]
- A Course in Large Sample Theory (Chapman & Hall, 1996)[4]
His research contributions include the analysis of the "big match" zero-sum game with David Blackwell, a result that eventually led to the proof of existence of equilibrium values for limiting average payoff in all stochastic games; the Ferguson distribution on prior probability; Ferguson's Dirichlet process;[1] Ferguson's pairing property in the analysis of misère subtraction games;[1][5] and contributions to the theory of optimal stopping as e.g. co-authored work on Robbins' problem.[1]
Recognition
Ferguson was named a Fellow of the Institute of Mathematical Statistics in 1967,[1] and a Fellow of the American Statistical Association in 1985. He was given the Belgian International Francqui Chair of Science in 1998. A festschrift in Ferguson's honor edited by F. Thomas Bruss and Lucien Le Cam was published in 2000.[1]
사생활
퍼거슨은 수학자 비트리즈 로셀로와 결혼했으며 포커플레이어 크리스 퍼거슨의 아버지다.[1][6] 그는 크리스 퍼거슨과 포커와 다른 우연한 게임의 수학에 대해 공동으로 논문을 발표했다.
참조
- ^ a b c d e f g h i Bruss, F. Thomas; Le Cam, Lucien Marie, eds. (2000), "Biography", Game Theory, Optimal Stopping, Probability and Statistics: Papers in Honor of Thomas S. Ferguson, Institute of Mathematical Statistics Lecture Notes, 35, Institute of Mathematical Statistics, ISBN 9780940600485
- ^ 토마스 S. 수학 계보 프로젝트 퍼거슨
- ^ 수학 통계 검토:
- Mammitzsch, V., zbMATH, Zbl 0153.47602CS1 maint: 제목 없는 정기 간행물(링크)
- Reinhardt, H. E., Mathematical Reviews, MR 0215390CS1 maint: 제목 없는 정기 간행물(링크)
- Stone, M. (1968), Journal of the Royal Statistical Society. Series A (General), 131 (2): 232, doi:10.2307/2343847, JSTOR 2343847CS1 maint: 제목 없는 정기 간행물(링크)
- Rogers, Gerald S. (February 1968), Technometrics, 10 (1): 215–216, doi:10.2307/1266244, JSTOR 1266244CS1 maint: 제목 없는 정기 간행물(링크)
- Hollander, Myles (June 1968), Journal of the American Statistical Association, 63 (322): 721–722, doi:10.2307/2284042, JSTOR 2284042CS1 maint: 제목 없는 정기 간행물(링크)
- Miller, David W. (October 1968), Management Science, 15 (2): B113, JSTOR 2628876CS1 maint: 제목 없는 정기 간행물(링크)
- Wijsman, Robert A. (December 1968), The Annals of Mathematical Statistics, 39 (6): 2163–2167, doi:10.1214/aoms/1177698055, JSTOR 2239324CS1 maint: 제목 없는 정기 간행물(링크)
- Toutenburg, H. (1970), Biometrische Zeitschrift, 12 (3): 196, doi:10.1002/bimj.19700120322CS1 maint: 제목 없는 정기 간행물(링크)
- ^ 대형 표본 이론의 A 과정 검토:
- Guijing, Chen, zbMATH, Zbl 0871.62002CS1 maint: 제목 없는 정기 간행물(링크)
- Dettweiler, E. (1998), "Review", Metrika, 47: 85–86, doi:10.1007/BF02742866, S2CID 189773459
- Biometrics, 54 (1): 398, March 1998, doi:10.2307/2534036, JSTOR 2534036CS1 maint: 제목 없는 정기 간행물(링크)
- ^ Berlekamp, Elwyn R.; Conway, John H.; Guy, Richard K. (2001), "Ferguson's pairing property", Winning Ways for your Mathematical Plays, 1 (2nd ed.), A K Peters, p. 96
- ^ Wilkinson, Alec (March 23, 2009), "What would Jesus bet?", The New Yorker
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