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

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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… Click to show full abstract

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.

Keywords: value cells; allocation; non homogeneous; given value; number given

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2019

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