Asymptotic expansions for renewal measures in the plane

DOI10.1007/BF00348749zbMath0638.60053OpenAlexW2035924148MaRDI QIDQ1099494

Robert W. Keener

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00348749

zbMATH Keywords

convolutionrandom walksFourier analysiscentral limit theoremrenewal measureboundary crossing problems

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Limit theorems in probability theory (60F99) Renewal theory (60K05)

Related Items (2)

Asymptotic expansions in multivariate renewal theory ⋮ Uniform convergence of exact large deviations for renewal reward processes

Cites Work

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• On subordinated distributions and generalized renewal measures
• Remainder term estimates of the renewal function
• Functions of discrete probability measures: Rates of convergence in the renewal theorem
• On Characteristic Functions and Renewal Theory
• On Moment Generating Functions and Renewal Theory
• Renewal Theory in the Plane
• Two theorems inr-dimensional renewal theory

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