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2 results on '"A. L. Yakymiv"'

1. Local Limit Theorem for the Multiple Power Series Distributions

Author

Arsen L. Yakymiv

Subjects
multiple power series distribution, integral limit theorem, local limit theorem, Tauberian lemma, R-weakly one-sided oscillation of the multiple sequence at infinity along the given multiple sequence, Mathematics, QA1-939
Abstract

We study the behavior of multiple power series distributions at the boundary points of their existence. In previous papers, the necessary and sufficient conditions for the integral limit theorem were obtained. Here, the necessary and sufficient conditions for the corresponding local limit theorem are established. This article is dedicated to the memory of my teacher, professor V.M. Zolotarev.

Published
2020
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2. Local Limit Theorem for the Multiple Power Series Distributions.

Author

L. Yakymiv, Arsen

Subjects
*LIMIT theorems, *POWER series, *INFINITY (Mathematics)
Abstract

We study the behavior of multiple power series distributions at the boundary points of their existence. In previous papers, the necessary and sufficient conditions for the integral limit theorem were obtained. Here, the necessary and sufficient conditions for the corresponding local limit theorem are established. This article is dedicated to the memory of my teacher, professor V.M. Zolotarev. [ABSTRACT FROM AUTHOR]

Published
2020
Full Text
View/download PDF

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