Likely path to extinction for simple branching model (Large Deviations approach)

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dc.creatorKlebaner, F.
dc.creatorLiptser, R.
dc.date2005-07-13
dc.date2005-12-06
dc.date.accessioned2026-07-07T06:42:37Z
dc.date.available2026-07-07T06:42:37Z
dc.descriptionWe give an explicit formula for the most likely path to extinction for the Galton-Watson processes with large initial population. We establish this result with the help of the large deviation principle (LDP) which also recovers the asymptotics of extinction probability. Due to the nonnegativity of the Galton-Watson processes, the proof of LDP verification at the point of extinction uses a nonstandard argument of independent interest.
dc.identifierhttps://arxiv.org/abs/math/0507257
dc.identifierhttp://arxiv.org/abs/math/0507257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102106
dc.subjectProbability
dc.subject60F10, 60J27
dc.titleLikely path to extinction for simple branching model (Large Deviations approach)
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