Changing the branching mechanism of a continuous state branching process using immigration

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dc.creatorAbraham, Romain
dc.creatorDelmas, Jean-Francois
dc.date2006-09-19
dc.date2007-10-15
dc.date.accessioned2026-07-07T12:41:03Z
dc.date.available2026-07-07T12:41:03Z
dc.descriptionWe construct a continuous state branching process with immigration (CBI) whose immigration depends on the CBI itself and we recover a continuous state branching process (CB). This provides a dual construction of the pruning at nodes of CB introduced by the authors in a previous paper. This construction is a natural way to model neutral mutation. Using exponential formula, we compute the probability of extinction of the original type population in a critical or sub-critical quadratic branching, conditionally on the non extinction of the total population.
dc.identifierhttps://arxiv.org/abs/math/0609518
dc.identifierhttp://arxiv.org/abs/math/0609518
dc.identifierAnnales de l'Institut Henri Poincare (B) Probability and Statistics 45, 1 (2009) 226-238
dc.identifierdoi:10.1214/07-AIHP165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219643
dc.subjectProbability
dc.titleChanging the branching mechanism of a continuous state branching process using immigration
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