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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


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.


Published: April, 1977
First available in Project Euclid: 19 April 2007

zbMATH: 0362.60019
MathSciNet: MR436444
Digital Object Identifier: 10.1214/aop/1176995853

Primary: 60B10

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

Rights: Copyright © 1977 Institute of Mathematical Statistics

Vol.5 • No. 2 • April, 1977
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