%0 Journal Article
%T Limit distributions for the problem of collecting pairs
%A Pavle Mladenovi£¿
%J Mathematics
%D 2008
%I arXiv
%R 10.3150/07-BEJ114
%X Let $N_n=\{1,2,...,n\}$. Elements are drawn from the set $N_n$ with replacement, assuming that each element has probability $1/n$ of being drawn. We determine the limiting distributions for the waiting time until the given portion of pairs $jj$, $j\in N_n$, is sampled. Exact distributions of some related random variables and their characteristics are also obtained.
%U http://arxiv.org/abs/0805.2041v1