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Asselah, A.; Ferrari, P.A.; Groisman, P.; Jonckheere, M. "Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case" (2016) Annales de l'institut Henri Poincare (B) Probability and Statistics. 52(2):647-668
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Abstract:

Consider N particles moving independently, each one according to a subcritical continuous-time Galton-Watson process unless it hits 0, at which time it jumps instantaneously to the position of one of the other particles chosen uniformly at random. The resulting dynamics is called Fleming-Viot process. We show that for each N there exists a unique invariant measure for the Fleming-Viot process, and that its stationary empirical distribution converges, as N goes to infinity, to the minimal quasi-stationary distribution of the Galton-Watson process conditioned on non-extinction. © Association des Publications de l'Institut Henri Poincaré, 2016.

Registro:

Documento: Artículo
Título:Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
Autor:Asselah, A.; Ferrari, P.A.; Groisman, P.; Jonckheere, M.
Filiación:LAMA, Université Paris-Est Créteil, Bat. P3/4, 61 Av. General de Gaulle, Créteil Cedex, 94010, France
Departamento de Matemática, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Instituto de Investigaciones Matemáticas Luis Santaló, Pabellón 1, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Fleming-Viot processes; Galton-Watson processes; Quasi-stationary distributions; Selection principle
Año:2016
Volumen:52
Número:2
Página de inicio:647
Página de fin:668
DOI: http://dx.doi.org/10.1214/14-AIHP635
Título revista:Annales de l'institut Henri Poincare (B) Probability and Statistics
Título revista abreviado:Ann. Inst. Henri Poincare B Probab. Stat.
ISSN:02460203
CODEN:AHPBA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02460203_v52_n2_p647_Asselah

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Citas:

---------- APA ----------
Asselah, A., Ferrari, P.A., Groisman, P. & Jonckheere, M. (2016) . Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case. Annales de l'institut Henri Poincare (B) Probability and Statistics, 52(2), 647-668.
http://dx.doi.org/10.1214/14-AIHP635
---------- CHICAGO ----------
Asselah, A., Ferrari, P.A., Groisman, P., Jonckheere, M. "Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case" . Annales de l'institut Henri Poincare (B) Probability and Statistics 52, no. 2 (2016) : 647-668.
http://dx.doi.org/10.1214/14-AIHP635
---------- MLA ----------
Asselah, A., Ferrari, P.A., Groisman, P., Jonckheere, M. "Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case" . Annales de l'institut Henri Poincare (B) Probability and Statistics, vol. 52, no. 2, 2016, pp. 647-668.
http://dx.doi.org/10.1214/14-AIHP635
---------- VANCOUVER ----------
Asselah, A., Ferrari, P.A., Groisman, P., Jonckheere, M. Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case. Ann. Inst. Henri Poincare B Probab. Stat. 2016;52(2):647-668.
http://dx.doi.org/10.1214/14-AIHP635