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AN ESTIMATE FOR THE SUM OF THE SPITZER SERIES AND ITS GENERALIZATION Full article

Journal Theory of Probability and its Applications
ISSN: 0040-585X , E-ISSN: 1095-7219
Output data Year: 2021, Volume: 66, Number: 1, Pages: 89-104 Pages count : 16 DOI: 10.1137/S0040585X97T990277
Tags Berry–Esseen estimate; Euler constant; expectation; normal law; Spitzer series; zeta function
Authors Nagaev S.V. 1
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

Abstract: An upper estimate for the absolute value of the sum of the Spitzer series is obtained. This estimate depends explicitly on the distribution in terms of which the Spitzer series is defined. © by SIAM. Unauthorized reproduction of this article is prohibited.
Cite: Nagaev S.V.
AN ESTIMATE FOR THE SUM OF THE SPITZER SERIES AND ITS GENERALIZATION
Theory of Probability and its Applications. 2021. V.66. N1. P.89-104. DOI: 10.1137/S0040585X97T990277 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000681459100006
Scopus: 2-s2.0-85129600907
OpenAlex: W3157097593
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