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A NEW PROOF OF THE ABSOLUTE CONVERGENCE OF THE SPITZER SERIES.

Authors :
Nagaev, S. V.
Source :
Theory of Probability & Its Applications. 2010, Vol. 54 Issue 1, p151-154. 4p.
Publication Year :
2010

Abstract

A new proof of the absolute convergence of the Spitzer series is given which is based on the Berry-Esseen bound. Moreover, the upper bound is deduced for the sum of the series generated by the absolute values of the terms of the Spitzer series. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0040585X
Volume :
54
Issue :
1
Database :
Academic Search Index
Journal :
Theory of Probability & Its Applications
Publication Type :
Academic Journal
Accession number :
51706330
Full Text :
https://doi.org/10.1137/S0040585X97984024