Speed of coming down from infinity for birth-and-death processes

We describe in detail the speed of `coming down from infinity' for birth-and-death processes which eventually become extinct. Under general assumptions on the birth-and-death rates, we firstly determine the behavior of the successive hitting times of large integers. We identify two different re...

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Bibliographische Detailangaben

Veröffentlicht in:	Advances in applied probability 2016-12, Vol.48 (4), p.1183-1210
Hauptverfasser:	Bansaye, Vincent, Méléard, Sylvie, Richard, Mathieu
Format:	Artikel
Sprache:	eng
Schlagworte:	Central limit theorem Convergence Death Equivalence Genetics Infinity Integers Inversions Markov analysis Markov processes Probability Random walk theory
Online-Zugang:	Volltext
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