The shape of the hazard rate for finite continuous-time birth-death processes

DOI10.1016/J.SPL.2010.10.018zbMath1205.62152OpenAlexW2073087113MaRDI QIDQ624992

Richard J. Crossman, Frank P. A. Coolen, Pauline Coolen-Schrijner

Publication date: 11 February 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2010.10.018

zbMATH Keywords

quasi-stationary distributionhazard ratebirth-death process

Mathematics Subject Classification ID

Applications of branching processes (60J85) Reliability and life testing (62N05)

Cites Work

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• Markov chain models - rarity and exponentiality
• Understanding the shape of the hazard rate: A process point of view. (With comments and a rejoinder).
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Spectral Theory for Skip-Free Markov Chains
• Bathtub and Related Failure Rate Characterizations
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• On asymptotic behaviour of probabilities in groups of states of homogeneous Markov chain

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