Statistical Science

Remembering Wassily Hoeffding

Nicholas I. Fisher and Willem R. van Zwet

Source: Statist. Sci. Volume 23, Number 4 (2008), 536-547.

Abstract

Wasssily Hoeffding’s terminal illness and untimely death in 1991 put an end to efforts that were made to interview him for Statistical Science. An account of his scientific work is given in Fisher and Sen [The Collected Works of Wassily Hoeffding (1994) Springer], but the present authors felt that the statistical community should also be told about the life of this remarkable man. He contributed much to statistical science, but will also live on in the memory of those who knew him as a kind and modest teacher and friend, whose courage and learning were matched by a wonderful sense of humor.

Keywords: Asymptotic optimality; copula; Hoeffding’s decomposition; Hoeffding Race; likelihood ratio test for multinomial; local alternatives; locally most powerful rank tests; m-dependence; permutation tests; probability inequalities; random permutations; rank correlation; statistical correlation; U-statistics

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ss/1242049393
Digital Object Identifier: doi:10.1214/08-STS271
Mathematical Reviews number (MathSciNet): MR2530549

References

Chakravarti, I. M. ed. (1980). Asymptotic Theory of Statistical Tests and Estimation. Academic Press, New York.
Mathematical Reviews (MathSciNet): MR571331
Fisher, N. I. and Sen P. K. eds. (1994). The Collected Works of Wassily Hoeffding. Springer, New York.
Mathematical Reviews (MathSciNet): MR1307621
Fisher, N. I. and van Zwet W. R. (2005). Wassily Hoeffding 1914–1991. A Biographical Memoir 86. The National Academies Press, Washington, DC.
Hoeffding, W. (1940). Masstabinvariante korrelationstheorie. Schriften des Mathematischen Instituts und des Instituts für Angewandte Mathematik der Universitat Berlin 5 179–233.
Hoeffding, W. (1947). On the distribution of the rank correlation coefficient τ when the variates are not independent. Biometrika 34 183–196.
Mathematical Reviews (MathSciNet): MR23495
Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution. Ann. Math. Statist. 19 293–325.
Mathematical Reviews (MathSciNet): MR26294
Digital Object Identifier: doi:10.1214/aoms/1177730196
Project Euclid: euclid.aoms/1177730196
Hoeffding, W. and Robbins H. (1948). The central limit theorem for dependent random variables. Duke Math. J. 15 773–780.
Mathematical Reviews (MathSciNet): MR26771
Digital Object Identifier: doi:10.1215/S0012-7094-48-01568-3
Project Euclid: euclid.dmj/1077475030
Hoeffding, W. (1951a). A combinatorial central limit theorem. Ann. Math. Statist. 22 558–566.
Mathematical Reviews (MathSciNet): MR44058
Digital Object Identifier: doi:10.1214/aoms/1177729545
Project Euclid: euclid.aoms/1177729545
Hoeffding, W. (1951b). ‘Optimum’ non-parametric tests. In Proc. Second Berkeley Symp. Math. Statist. Probab. (J. Neyman, ed.) 83–92. Univ. California Press, Berkeley.
Hoeffding, W. (1952). The large-sample power of tests based on permutations of observations. Ann. Math. Statist. 23 169–192.
Mathematical Reviews (MathSciNet): MR57521
Digital Object Identifier: doi:10.1214/aoms/1177729436
Project Euclid: euclid.aoms/1177729436
Hoeffding, W. and Rosenblatt J. R. (1955). The efficiency of tests. Ann. Math. Statist. 26 52–63.
Mathematical Reviews (MathSciNet): MR70123
Digital Object Identifier: doi:10.1214/aoms/1177728592
Project Euclid: euclid.aoms/1177728592
Hoeffding, W. (1956). On the distribution of the number of successes in independent trials. Ann. Math. Statist. 27 713–721.
Mathematical Reviews (MathSciNet): MR80391
Digital Object Identifier: doi:10.1214/aoms/1177728178
Project Euclid: euclid.aoms/1177728178
Hoeffding, W. (1961). The strong law of large numbers for U-statistics. Inst. Statist. University of North Carolina Mimeograph Series # 302.
Hoeffding, W. (1963). Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 13–30.
Mathematical Reviews (MathSciNet): MR144363
Digital Object Identifier: doi:10.2307/2282952
Hoeffding, W. (1965). Asymptotically optimal tests for multinomial distributions (with Discussion). Ann. Math. Statist. 36 369–408.
Mathematical Reviews (MathSciNet): MR173322
Digital Object Identifier: doi:10.1214/aoms/1177700150
Project Euclid: euclid.aoms/1177700150
Hoeffding, W. (1967). On probabilities of large deviations. In Proc. Fifth Berkeley Symp. Math. Statist. Probab. I (L. LeCam and J. Neyman, eds.) 203–219. Univ. California Press, Berkeley.
Mathematical Reviews (MathSciNet): MR212912
Hoeffding, W. and Simons G. (1970). Unbiased coin tossing with a biased coin. Ann. Math. Statist. 41 341–352.
Mathematical Reviews (MathSciNet): MR285068
Digital Object Identifier: doi:10.1214/aoms/1177697074
Project Euclid: euclid.aoms/1177697074
Hoeffding, W. (1982). A statistician’s progress from Berlin to Chapel Hill. In The Making of Statisticians (J. Gani, ed.) 99–109. Springer, New York.
Mathematical Reviews (MathSciNet): MR669389

2009 © Institute of Mathematical Statistics