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Charles M. Stein

Charles Max Stein (March 22, 1920 – November 24, 2016) was an American mathematical statistician and professor of statistics at Stanford University.

Charles M. Stein
BornMarch 22, 1920
Died November 24, 2016(2016-11-24) (aged 96)
NationalityAmerican
Alma materColumbia University
University of Chicago
Scientific career
FieldsStatistics
InstitutionsStanford University
Doctoral advisorAbraham Wald

He received his Ph.D in 1947 at Columbia University with advisor Abraham Wald. He held faculty positions at Berkeley and the University of Chicago before moving permanently to Stanford in 1953. He is known for Stein's paradox in decision theory, which shows that ordinary least squares estimates can be uniformly improved when many parameters are estimated;[1] for Stein's lemma, giving a formula for the covariance of one random variable with the value of a function of another when the two random variables are jointly normally distributed; and for Stein's method, a way of proving theorems such as the Central Limit Theorem that does not require the variables to be independent and identically distributed.[2] He was a member of the National Academy of Sciences. He died in November 2016 at the age of 96.[3]

Works

  • Approximate Computation of Expectations, Institute of Mathematical Statistics, Hayward, CA, 1986.
  • A bound for the error in the normal approximation to the distribution of a sum of dependent random variables, Sixth Berkeley Stanford Symposium, pages 583-602.

Interviews

  • DeGroot, Morris H. (1986). "A Conversation with Charles Stein". Statistical Science. 1 (4): 454–462. doi:10.1214/ss/1177013517. JSTOR 2245793.
  • "Charles Stein: The Invariant, the Direct and the "Pretentious"" (PDF). {{cite journal}}: Cite journal requires |journal= (help)

References

  1. ^ "Special Section: Minimax Shrinkage Estimation: A Tribute to Charles Stein". Statistical Science. 27 (1). February 2012.
  2. ^ "A bound for the error in the normal approximation to the distribution of a sum of dependent random variables" (PDF). {{cite journal}}: Cite journal requires |journal= (help)
  3. ^ "Charles M. Stein, extraordinary statistician and anti-war activist, dies at 96". Stanford News Service. December 1, 2016.

See also

charles, stein, this, article, includes, list, general, references, lacks, sufficient, corresponding, inline, citations, please, help, improve, this, article, introducing, more, precise, citations, february, 2013, learn, when, remove, this, template, message, . This article includes a list of general references but it lacks sufficient corresponding inline citations Please help to improve this article by introducing more precise citations February 2013 Learn how and when to remove this template message Charles Max Stein March 22 1920 November 24 2016 was an American mathematical statistician and professor of statistics at Stanford University Charles M SteinBornMarch 22 1920Brooklyn New York U S DiedNovember 24 2016 2016 11 24 aged 96 Fremont California U S NationalityAmericanAlma materColumbia UniversityUniversity of ChicagoScientific careerFieldsStatisticsInstitutionsStanford UniversityDoctoral advisorAbraham WaldHe received his Ph D in 1947 at Columbia University with advisor Abraham Wald He held faculty positions at Berkeley and the University of Chicago before moving permanently to Stanford in 1953 He is known for Stein s paradox in decision theory which shows that ordinary least squares estimates can be uniformly improved when many parameters are estimated 1 for Stein s lemma giving a formula for the covariance of one random variable with the value of a function of another when the two random variables are jointly normally distributed and for Stein s method a way of proving theorems such as the Central Limit Theorem that does not require the variables to be independent and identically distributed 2 He was a member of the National Academy of Sciences He died in November 2016 at the age of 96 3 Contents 1 Works 2 Interviews 3 References 4 See alsoWorks EditApproximate Computation of Expectations Institute of Mathematical Statistics Hayward CA 1986 A bound for the error in the normal approximation to the distribution of a sum of dependent random variables Sixth Berkeley Stanford Symposium pages 583 602 Interviews EditDeGroot Morris H 1986 A Conversation with Charles Stein Statistical Science 1 4 454 462 doi 10 1214 ss 1177013517 JSTOR 2245793 Charles Stein The Invariant the Direct and the Pretentious PDF a href Template Cite journal html title Template Cite journal cite journal a Cite journal requires journal help References Edit Special Section Minimax Shrinkage Estimation A Tribute to Charles Stein Statistical Science 27 1 February 2012 A bound for the error in the normal approximation to the distribution of a sum of dependent random variables PDF a href Template Cite journal html title Template Cite journal cite journal a Cite journal requires journal help Charles M Stein extraordinary statistician and anti war activist dies at 96 Stanford News Service December 1 2016 Charles M Stein at the Mathematics Genealogy Project National University of Singapore Program Honoring Prof Stein Photograph of Stein Another photographSee also EditJames Stein estimator Stein s lemma Stein s method Stein s unbiased risk estimate Stein s loss Stein discrepancy This article about a statistician from the United States is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Charles M Stein amp oldid 1136073218, wikipedia, wiki, book, books, library,

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