Browsing by Author "Chuprunov A.N."

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

Chickrin D.E.; Chuprunov A.N.; Kokunin P.A. (2020)

© 2020, Springer Science+Business Media, LLC, part of Springer Nature. In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells ...
On the Maximum Value of a Cell in a Specified Set of Cells for the Nonhomogeneous Generalized Allocation Scheme

Chickrin D.E.; Chuprunov A.N.; Kokunin P.A. (2020)

© 2020, Springer Science+Business Media, LLC, part of Springer Nature. For nonhomogeneous generalized allocation schemes we formulate conditions under which the maximum value of a cell of the first K cells converges to a ...
On the Number of Empty Cells in a Non-Homogeneous Allocation Scheme

Abdushukurov F.A.; Chuprunov A.N. (2021)

Abstract: It considered a non-homogeneous allocation scheme of distinguishable particles by different cells. We proved gaussian and Poisson limit theorems for the number of empty cells from the first K cells. These results ...
Poisson Limit Theorems in an Allocation Scheme with an Even Number of Particles in Each Cell

Abdushukurov F.A.; Chuprunov A.N. (2020)

© 2020, Pleiades Publishing, Ltd. Abstract: We consider an allocation scheme of 2n distinguishable particles by $$N$$ different cells under the condition than each cell contains an even number of particles. We show that ...

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