On the Convergence Conditions of the Generalized Spitzer Series

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Previous article Next article On the Convergence Conditions of the Generalized Spitzer SeriesL. V. RozovskyL. V. Rozovskyhttps://doi.org/10.1137/S0040585X97986308PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractIn the paper the optimal moment conditions are given for the convergence of the generalized Spitzer series.1. S. V. Nagaev , A new proof of the absolute convergence of the Spitzer series , Theory Probab. Appl. , 54 ( 2010 ), pp. 151 -- 154 . LinkGoogle Scholar2. L. V. Rozovsky , On the precision of an estimate of the remainder term in the central limit theorem , Theory Probab. Appl. , 23 ( 1978 ), pp. 712 -- 730 . LinkGoogle ScholarKeywordssums of independent random variablesSpitzer seriesnormal distribution Previous article Next article FiguresRelatedReferencesCited byDetails An Estimate for the Sum of the Spitzer Series and Its GeneralizationS. V. Nagaev6 May 2021 | Theory of Probability & Its Applications, Vol. 66, No. 1AbstractPDF (458 KB)Оценка суммы ряда Спицера и ее обобщение27 February 2020 | Теория вероятностей и ее применения, Vol. 66, No. 1 Cross Ref Volume 57, Issue 4| 2013Theory of Probability & Its Applications History Published online:05 November 2013 Information© 2013, Society for Industrial and Applied MathematicsKeywordssums of independent random variablesSpitzer seriesnormal distributionPDF Download Article & Publication DataArticle DOI:10.1137/S0040585X97986308Article page range:pp. 697-698ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics