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THE SCIENTIFIC CONTRIBUTIONS OF MILTON SOBEL

Published online by Cambridge University Press:  01 June 2006

Ingram Olkin ,
Thomas Santner  and
Y. L. Tong
Ingram Olkin
Affiliation:
Department of Statistics, Stanford University, Stanford, CA, E-mail: [email protected]
Thomas Santner
Affiliation:
Department of Statistics, The Ohio State University, E-mail: [email protected]
Y. L. Tong
Affiliation:
School of Mathematics, Georgia Institute of Technology, E-mail: [email protected]
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Abstract

This article describes the scientific contributions of Milton Sobel. It motivates his research by considering his family background, his war experiences, and his mentors and fellow students at Columbia University. His research in sequential analysis, selection, ranking, group testing, and probabilistic combinatorics are highlighted.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 20 , Issue 3 , July 2006 , pp. 383 - 411
Copyright
© 2006 Cambridge University Press

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References

REFERENCESc References in which Sobel was an author are contained in the Bibliography.

Bechhofer, R.E. (1954). A single-sample multiple decision procedure for ranking means of normal populations with known variances. The Annals of Mathematical Statistics 25: 16–39.Google Scholar
Dorfman, R. (1943). The detection of defective members of large populations. The Annals of Mathematical Statistics 14: 436–440.Google Scholar
Gupta, S.S. (1956). On a decision rule for a problem in ranking means. Ph.D. dissertation (Mimeo. Ser. No. 150), Institute of Statistics, University of North Carolina, Chapel Hill.
Gupta, S.S. & Panchapakesan, S. (1979). Multiple decision procedures: Theory and methodology of selecting and ranking populations. New York: Wiley.
Hardy, G.H., Littlewood, J.E., & Pólya, G. (1934). Some simple inequalities satisfied by convex functions, Messenger Mathematics 58: 145–152.Google Scholar
Marshall, A.W. & Olkin, I. (1979). Inequalities—Theory of majorization and its applications. New York: Academic Press.
Sterrett, A. (1957). On the detection of defective members of large populations. The Annals of Mathematical Statistics 28: 1033–1036.Google Scholar
Wald, A. (1947). Sequential analysis. New York: Wiley.
Wald, A. (1950). Statistical decision functions. New York: Wiley.