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 Electronic Communications in Probability > Vol. 3 (1998) > Paper 2 open journal systems 


The Law of Large Numbers for U-statistics Under Absolute Regularity

Miguel A. Arcones, University of Texas


Abstract
We prove the law of large numbers for U-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($beta$-mixing condition) under suboptimal conditions.


Full text: PDF

Pages: 13-19

Published on: March 4, 1998
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Electronic Communications in Probability. ISSN: 1083-589X