A New Proof of the Absolute Convergence of the Spitzer Series

A New Proof of the Absolute Convergence of the Spitzer Series

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. [PUBLICATION ABSTRACT]

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Bibliographische Detailangaben
Veröffentlicht in:Theory of probability and its applications 2010-01, Vol.54 (1), p.151-154
1. Verfasser: Nagaev, S V
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Mathematical functions
Probability distribution
Proof theory
Proving
Studies
Upper bounds
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Beschreibung
Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0040-585X
1095-7219
DOI:10.1137/S0040585X97984024