An Estimate for the Sum of the Spitzer Series and Its Generalization

DOI10.1137/S0040585X97T990277zbMath1469.60141OpenAlexW3157097593MaRDI QIDQ3389449

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Publication date: 10 May 2021

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t990277

zbMATH Keywords

zeta functionnormal lawexpectationEuler constantBerry-Esseen estimateSpitzer series

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• Exact expressions for the moments of ladder heights
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• On the Convergence Conditions of the Generalized Spitzer Series
• A New Proof of the Absolute Convergence of the Spitzer Series
• On a Method of Calculating Moments of Ladder Heights
• On the Precision of an Estimate of the Remainder Term in the Central Limit Theorem
• Corrected diffusion approximations in certain random walk problems
• CONVERGENCE RATES FOR THE CENTRAL LIMIT THEOREM
• On the influence of moments on the rate of convergence to the normal distribution
• On the concentration function of a sum of independent random variables

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