Bounds for the Expected Time to Extinction and the Probability of Extinction in the Galton-Watson Process

DOI10.1080/03610926.2012.673851zbMath1303.60078OpenAlexW2065547799MaRDI QIDQ5419676

José E. Valdés, Yoel G. Yera, Leonel Zuaznábar

Publication date: 11 June 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.673851

zbMATH Keywords

boundsGalton-Watson processtime to extinctionprobability of extinction

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Traveling wave solutions (35C07)

Cites Work

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• Extinction of branching processes in varying environments
• Stochastic orders
• Aging and other distributional properties of discrete compound geometric distributions
• On the probability of extinction of a Galton-Watson process.
• The Time to Extinction of Branching Processes and Log-Convexity: I
• Bounds on the extinction time distribution of a branching process
• Bounds for the extinction probability of a simple branching process
• NWU property of a class of random sums
• Some New Bounds on the Probability of Extinction of a Galton–Watson Process with Numerical Comparisons
• Comparison Results for Branching Processes in Random Environments
• Inequalities for branching processes
• The Galton-Watson process with mean one

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