Rarity and exponentiality: an extension of Keilson's theorem, with applications

DOI10.1239/jap/1118777178zbMath1077.60024OpenAlexW1976998567MaRDI QIDQ5697591

Marcus Reich, Rudolf Grübel

Publication date: 18 October 2005

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1118777178

zbMATH Keywords

exponential distributionregenerative processpattern matchingfirst entrance timeEhrenfest urn models

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (1)

Slow Transitions and Starvation in Dense Random-Access Networks

Cites Work

• A martingale approach to the study of occurrence of sequence patterns in repeated experiments
• The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain
• String overlaps, pattern matching, and nontransitive games
• Probability approximations via the Poisson clumping heuristic
• Markov chain models - rarity and exponentiality
• Exponential trends of Ornstein–Uhlenbeck first-passage-time densities
• Limit theorems for Markov processes via a variant of the Trotter-Kato theorem
• Algorithms on Strings, Trees and Sequences
• Markov Chains
• A Limit Theorem for Passage Times in Ergodic Regenerative Processes
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