Almost Sure Convergence of Generalized $U$-Statistics

Pranab Kumar Sen

doi:10.1214/aop/1176995853

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Home > Journals > Ann. Probab. > Volume 5 > Issue 2 > Article

April, 1977 Almost Sure Convergence of Generalized $U$-Statistics

Pranab Kumar Sen

Ann. Probab. 5(2): 287-290 (April, 1977). DOI: 10.1214/aop/1176995853

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Abstract

Almost sure convergence of generalized $U$-statistics and von Mises' differentiable statistical functions is studied with the help of the general $L \log L$ martingale convergence theorem.

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Pranab Kumar Sen. "Almost Sure Convergence of Generalized $U$-Statistics." Ann. Probab. 5 (2) 287 - 290, April, 1977. https://doi.org/10.1214/aop/1176995853

Information

Published: April, 1977

First available in Project Euclid: 19 April 2007

zbMATH: 0362.60019

MathSciNet: MR436444

Digital Object Identifier: 10.1214/aop/1176995853

Subjects:

Primary: 60B10

Keywords: Almost sure convergence , generalized $U$-statistics , reverse martingales and submartingales , von Mises' differentiable statistical functions

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