This article is cited in 1 paper

Poisson limit joint distributions for a random allocation scheme of two-type particles

V. V. Gaas

M. V. Lomonosov Moscow State University

Abstract: For the independent polynomial allocation scheme of particles of two types we consider the numbers of cells containing given numbers of particles of each type. A theorem on the weak convergence of the vector formed by these numbers to the random vector with independent Poisson components is proved.

Keywords: random allocations, joint distribution, Poisson limit theorem.

Received: 26.12.2006

DOI: 10.4213/tvp177

 English version: Theory of Probability and its Applications, 2008, 52:2, 337–345

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