STRONG LAWS OF LARGE NUMBERS FOR RANDOM PERMANENTS
Grzegorz A. Rempała
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 -statistics.
2000 AMS Mathematics Subject Classification: Primary 60F05; Secondary
Key words and phrases: Random permanent, Hoeffding decomposition, strong law of
large numbers; backward martingale.