International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 291-311
doi:10.1155/S0161171292000371

Bernoulli trials and permutation statistics

Abstract

Several coin-tossing games are surveyed which, in a natural way, give rise to “statistically” induced probability measures on the set of permutations of {1,2,…,n} and on sets of multipermutations. The distributions of a general class of random variables known as binary tree statistics are also given.