Quasi stationary distributions and Fleming-Viot processes in countable spaces.
Ferrari, Pablo A., Marić, Nevena (2007)
Electronic Journal of Probability [electronic only]
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Ferrari, Pablo A., Marić, Nevena (2007)
Electronic Journal of Probability [electronic only]
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Penrose, Mathew D. (2008)
Probability Surveys [electronic only]
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Mountford, T.S., Wu, Li-Chau (2005)
Electronic Journal of Probability [electronic only]
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Masao Nagasawa (1975)
Séminaire de probabilités de Strasbourg
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D'Amico, Guglielmo, Janssen, Jacques, Manca, Raimondo (2009)
Journal of Applied Mathematics and Decision Sciences
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Denis Villemonais (2014)
ESAIM: Probability and Statistics
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We consider a strong Markov process with killing and prove an approximation method for the distribution of the process conditioned not to be killed when it is observed. The method is based on a Fleming−Viot type particle system with rebirths, whose particles evolve as independent copies of the original strong Markov process and jump onto each others instead of being killed. Our only assumption is that the number of rebirths of the Fleming−Viot type system doesn’t explode in finite time...
Thomas Mountford, Li Wu (2008)
Open Mathematics
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We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments of order strictly greater than and obeys some natural regularity conditions.
Márton Balázs (2003)
Annales de l'I.H.P. Probabilités et statistiques
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David McDonald (1975)
Annales de l'I.H.P. Probabilités et statistiques
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Pierre Del Moral, Laurent Miclo (2000)
Séminaire de probabilités de Strasbourg
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