Finite-size corrections to Poisson approximations in general renewal-success processes

DOI10.1016/j.jmaa.2004.07.035zbMath1061.60090OpenAlexW2092433069MaRDI QIDQ705275

John L. Spouge

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.035

zbMATH Keywords

finite-size correctionregenerative process with a rare eventrenewal-success process

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Uses Software

• PSI-BLAST
• BLAST

Cites Work

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• On the distribution of first passage and return times for small sets
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Markov chain models - rarity and exponentiality
• Finite-size corrections to Poisson approximations of rare events in renewal processes
• Asymptotic methods in reliability theory: a review
• A simple coupling of renewal processes
• On Moment Generating Functions and Renewal Theory

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