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On limit distributions for one- and two-sample Kolmogorov–Smirnov type statistics

Published online by Cambridge University Press:  14 July 2016

Nancy L. Geller
Nancy L. Geller*
Affiliation:
University of Pennsylvania
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Abstract

Several new limit theorems for one- and two-sample statistics of the Kolmogorov-Smirnov type are obtained. These generalize results of Takács, Vincze, and others. The proofs combine combinatorial and weak convergence techniques.

Keywords

KOLMOGOROV-TYPE STATISTICSLIMIT D.F.'S OF K–S STATISTICSBROWNIAN BRIDGEWEAK CONVERGENCE TO BROWNIAN BRIDGEEMPIRICAL PROCESSEDF TESTSSAMPLE DF TESTS
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 3 , September 1977 , pp. 538 - 547
Copyright
Copyright © Applied Probability Trust 1977 

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References

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