On the asymptotic normality of the number of empty cells in a scheme of group allocation of particles

Abstract

AbstractThe paper is concerned with a scheme of m-dependent allocation of non-equiprobable groups of particles into cells. It is assumed that the number of groups and the number of cells tend to infinity and are of the same order. Asymptotic formulas for expectation and variance are obtained and sufficient conditions for the asymptotic normality of the number of empty cells in this scheme are formulated.