Wednesday, November 14, 2007

36. Old papers in AoMS (I)

This is the first in a series of entries on highly cited papers originally published in the Annals of Mathematical Statistics (1930-1972), now available at Project Euclid. I got the citation info from the ISI database.

These papers need not have any relationship, direct or whatsoever, with fuzzy sets-- but don't let that bother you.

Let us begin with the ten highest cited papers from that journal.

1. (2249 citations) Mann and Whitney on the Mann-Whitney-Wilcoxon test.
2. (1430 citations) Parzen on density estimation.
3. (1047 citations) Kullback and Leibler on Kullback-Leibler divergence.
4. (904 citations) Huber on robust estimation.
5. (815 citations) Box and Muller on the Box-Muller transform.
6. (811 citations) Robbins and Monro on the Robbins-Monro stochastic approximation method.
7. (783 citations) Chernoff on asymptotic efficiency (including the germ of the Chernoff bound, see Theorem 1).
8. (699 citations) Levene on `a matching problem arising in Genetics'.
9. (677 citations) Dempster on upper and lower probabilities (later to become a part of Dempster-Shafer theory).
10. (629 citations) Geisser and Greenhouse on the Geisser-Greenhouse correction.

This list strongly suggests that it was naive on Parzen and Huber's part to propose the names `kernel' and `M-estimator'. Don't name things too hastily!


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