Journals / Istatistik Journal of The Turkish Statistical Association / 2018 / Cilt: 11 Sayı: 3
ON A COMBINATORIAL STRONG LAW OF LARGE NUMBERS
- Pages
- 46–52
- DOI
- —
Abstract
We derive strong laws of large numbers for combinatorial sums iXniπn(i), where Xnij are n × n matrices of random variables with finite fourth moments and (πn(1), . . . , πn(n)) are uniformly distributed random permutations of 1, . . . , n independent with X’s. We do not assume the independence of X’s, but this case is included as well. Examples are discussed.