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Abstract The 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...
Abstract This work is concerned with the random forest formed by the trajectories of a homogeneous Galton- Watson branching process with the Poisson distribution of the number of offsprings that begins with N particles. For the subset of trajectories containing at most non-root n nodes, the limit...