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Showing papers by "Pranab Kumar Sen published in 1975"


Book ChapterDOI
01 Jan 1975
TL;DR: For the three basic hypotheses of invariance for which genuinely distribution-free tests exist, a broad class of rank statistics possess the martingale property as mentioned in this paper, which enables one to provide various extensions of the permutational central limit theorems for these statistics and these results are quite useful in the developing area of nonparametric sequential procedures.
Abstract: For the three basic hypotheses of invariance for which genuinely distribution-free tests exist, a broad class of rank statistics possess the martingale property. This enables one to provide various extensions of the permutational central limit theorems for these statistics and these results are quite useful in the developing area of nonparametric sequential procedures. While the major part of the paper attempts to unify the results scattered in the literature, some new results derived in this context are also incorporated here.

6 citations