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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| Veröffentlicht in: | Theory of probability and its applications 2010-01, Vol.54 (1), p.151-154 |
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| container_title | Theory of probability and its applications |
| container_volume | 54 |
| creator | Nagaev, S V |
| description | 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] |
| doi_str_mv | 10.1137/S0040585X97984024 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0040-585X |
| ispartof | Theory of probability and its applications, 2010-01, Vol.54 (1), p.151-154 |
| issn | 0040-585X 1095-7219 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_901695107 |
| source | LOCUS - SIAM's Online Journal Archive |
| subjects | Convergence Mathematical functions Probability distribution Proof theory Proving Studies Upper bounds |
| title | A New Proof of the Absolute Convergence of the Spitzer Series |
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