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Local Limit Theorem for the Multiple Power Series Distributions

Author

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  • Arsen L. Yakymiv

    (Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina St., Moscow 119991, Russia)

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.

Suggested Citation

  • Arsen L. Yakymiv, 2020. "Local Limit Theorem for the Multiple Power Series Distributions," Mathematics, MDPI, vol. 8(11), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2067-:d:447814
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