Charles M. Stein








































Charles M. Stein
Born March 22, 1920

Brooklyn, New York, U.S.
Died
November 24, 2016(2016-11-24) (aged 96)

Fremont, California, U.S.
Nationality American
Alma mater
Columbia University
University of Chicago
Scientific career
Fields Statistics
Institutions Stanford University
Doctoral advisor Abraham Wald


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


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]




Contents






  • 1 Works


  • 2 Interviews


  • 3 References


  • 4 See also





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..mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"""""""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}


  • "Charles Stein: The Invariant, the Direct and the "Pretentious"" (PDF).



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).


  3. ^ "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 photograph



See also



  • James–Stein estimator

  • Stein's lemma

  • Stein's method

  • Stein's unbiased risk estimate

  • Stein's loss









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