Time to Extinction in Subcritical Two-Sex Branching Processes

David M. Hull (), Manuel Mota () and George P. Yanev ()
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David M. Hull: Valparaiso University
Manuel Mota: University of Extremadura
George P. Yanev: The University of Texas - Pan American

Methodology and Computing in Applied Probability, 2015, vol. 17, issue 3, 605-616

Abstract: Abstract Lower and upper bounds for the cumulative distribution function (cdf) of the time to extinction in a subcritical two-sex branching process are derived. A recursive procedure for approximating this cdf is also utilized. The results are illustrated with some simulations.

Keywords: Time to extinction; Bisexual branching process; Subcritical process; Discrete time; 60J80 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11009-013-9384-1

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