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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 22, Fasc. 2,
pages 201 - 209
 

STRONG LAWS OF LARGE NUMBERS FOR RANDOM PERMANENTS

Grzegorz A. Rempała
Jacek Wesołowski

Abstract: The strong laws of large numbers for random permanents of increasing order are derived. The method of proofs relies on the martingale decomposition of a random permanent function, similar to the one known for U -statistics.

2000 AMS Mathematics Subject Classification: Primary 60F05; Secondary 15A15, 15A52.

Key words and phrases: Random permanent, Hoeffding decomposition, strong law of large numbers; backward martingale.

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