Charles M. Stein | Academic Influence

Charles M. Stein's AcademicInfluence.com Rankings

Charles M. Stein

Mathematics

#5039

World Rank

#7121

Historical Rank

#1682

USA Rank

Statistics

#313

World Rank

#375

Historical Rank

#106

USA Rank

mathematics Degrees

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Mathematics

Charles M. Stein's Degrees

PhD Statistics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Charles M. Stein Influential?

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According to Wikipedia, Charles Max Stein 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; 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. He was a member of the National Academy of Sciences. He died in November 2016 at the age of 96.

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Charles M. Stein's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Estimation of the Mean of a Multivariate Normal Distribution (1981) (2739)
Estimation with Quadratic Loss (1992) (2403)
The Jackknife Estimate of Variance (1981) (1355)
A bound for the error in the normal approximation to the distribution of a sum of dependent random variables (1972) (1200)
Inadmissibility of the Usual Estimator for the Mean of a Multivariate Normal Distribution (1956) (919)
A Two-Sample Test for a Linear Hypothesis Whose Power is Independent of the Variance (1945) (838)
Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean (1964) (334)
Confidence Sets for the Mean of a Multivariate Normal Distribution (1962) (193)
Lectures on the theory of estimation of many parameters (1986) (160)
Use of exchangeable pairs in the analysis of simulations (2004) (148)
On the coverage probability of confidence sets based on a prior distribution (1985) (146)
On the Theory of Some Non-Parametric Hypotheses (1949) (115)
An Example of Wide Discrepancy Between Fiducial and Confidence Intervals (1959) (92)
The Admissibility of Hotelling's $T^2$-Test (1956) (89)
A Note on Cumulative Sums (1946) (85)
THE ADMISSIBILITY OF PITMAN'S ESTIMATOR OF A SINGLE LOCATION PARAMETER' (1959) (71)
A Normal Approximation for the Number of Local Maxima of a Random Function on a Graph (1989) (71)
Most Powerful Tests of Composite Hypotheses. I. Normal Distributions (1948) (60)
Sequential Confidence Intervals for the Mean of a Normal Distribution with Known Variance (1947) (58)
Approximation of Improper Prior Measures by Prior Probability Measures (1965) (56)
A NECESSARY AND SUFFICIENT CONDITION FOR ADMISSIBILITY (1955) (52)
Completeness In The Sequential Case (1950) (40)
Critical Materials Problems in Energy Production (1976) (39)
Unbiased Estimates with Minimum Variance (1950) (34)
Minimax Character of Hotelling's $T^2$ Test in the Simplest Case (1963) (33)
Selected Papers in Statistics and Probability. (1955) (28)
Asymptotic Evaluation of the Number of Latin Rectangles (1978) (26)
Some Tauberian Theorems Related to Coin Tossing (1978) (24)
A Remark on the Likelihood Principle (1962) (22)
The Admissibility of Certain Invariant Statistical Tests Involving a Translation Parameter (1953) (16)
Best Invariant Estimation of a Direction Parameter (1985) (10)
A Property of Some Tests of Composite Hypotheses (1951) (7)
Inadmissibility of the Best Invariant Test in Three or More Dimensions (1971) (5)
Fusion - First Wall Problems (1976) (4)
The Invariant, the Direct and the "Pretentious" (2010) (2)
Admissibility in Four But Not in Five Dimensions of the Diffuse Prior Bayes Rule for the Control Problem (1981) (0)
The Large Garage Has Some Huge Dogs Lodged (1988) (0)
Problems for Solution: 3984-3987 (1941) (0)
Chapter II. Continuation of the basic idea (1986) (0)
Problems for Solution: 4154-4157 (1945) (0)
Chapter X. Another abstract normal approximation theorem (1986) (0)
Chapter III. A normal approximation theorem (1986) (0)
Chapter XIV. A third abstract normal approximation theorem (1986) (0)
Chapter IX. Sums of independent identically distributed random variables (1986) (0)
Chapter XII. Random allocations (1986) (0)
Chapter XV. Summary (1986) (0)
Chapter VII. Counting Latin rectangles (1986) (0)
On the Distribution of the Number of Local Minima of a Random Function on a Graph (1989) (0)
Chapter I. The basic approach (1986) (0)
Chapter VI. Sums of independent random variables with densities (1986) (0)
Chapter XI. Improved results on the number of Latin rectangles (1986) (0)
Chapter VIII. Poisson approximations (1986) (0)
Chapter IV. The number of ones in the binary expansion of a random integer (1986) (0)
Chapter XIII. An application to the theory of random graphs (1986) (0)
Chapter V. Heuristic treatment of the large deviations (1986) (0)

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