Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme

Abstract

© 2019, Pleiades Publishing, Ltd. In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Poisson random variable. The method of the proofs is founded on some analog of Kolchin formula. As corollary we obtain a Poisson limit theorems for the number of given value cells from the first K cells in non-homogeneous allocation scheme of distinguishing particles by different cells.