%0 Journal Article
%T A Limit Theorem for Random Allocations
%A Istvan Fazekas
%A Jozsef Turi
%J Journal of Mathematics Research
%D 2012
%I 
%R 10.5539/jmr.v4n1p17
%X A limit theorem is presented for random allocations. For a fixed period we allocate $m$ balls into $N$ boxes. We repeat the experiment throughout $n$ periods. Let $p_q$ denote the probability that we do not place more than $q$ balls  into any of the $N$ boxes during any of the $n$ repetitions. The limit of $p_q$ is determined when $m,n,N o infty$.
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/13032