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http://hdl.handle.net/10662/21825
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Campo DC | Valor | idioma |
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dc.contributor.author | Kersting, Götz | - |
dc.contributor.author | Minuesa Abril, Carmen | - |
dc.date.accessioned | 2024-07-09T16:47:01Z | - |
dc.date.available | 2024-07-09T16:47:01Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 1350-7265 | - |
dc.identifier.uri | http://hdl.handle.net/10662/21825 | - |
dc.description.abstract | We study an extension of the so-called defective Galton-Watson processes obtained by allowing the offspring distribution to change over the generations. Thus, in these processes, the individuals reproduce independently of the others and in accordance to some possibly defective offspring distribution depending on the generation. Moreover, the defect 1-fn(1) of the offspring distribution at generation n represents the probability that the process hits an absorbing state Delta at that generation. We focus on the asymptotic behaviour of these processes. We establish the almost sure convergence of the process to a random variable with values in the set of non-negative integer numbers union the state Delta and we provide two characterisations of the duality extinction-absorption at Delta. We also state some results on the absorption time and the properties of the process conditioned upon its non-absorption, some of which require us to introduce the notion of defective branching trees in varying environment. | es_ES |
dc.description.sponsorship | - Ministerio de Economía y Competitividad. Grant MTM2015-70522-P. - Spanish State Research Agency. Grant PID2019-108211GBI00/AEI/10.13039/501100011033. - Junta de Extremadura and the European Regional Development Fund. Grants IB16099 and GR18103. | es_ES |
dc.format.extent | 24 p. | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | es_ES |
dc.publisher | Bernoulli Society for Mathematical Statistics and Probability | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Branching process | es_ES |
dc.subject | Varying environment | es_ES |
dc.subject | Defective distribution | es_ES |
dc.subject | Absorption | es_ES |
dc.subject | Proceso de ramificación | es_ES |
dc.subject | Ambiente variable | es_ES |
dc.subject | Distribución defectuosa | es_ES |
dc.subject | Absorción | es_ES |
dc.title | Defective Galton-Watson processes in a varying environment | es_ES |
dc.title.alternative | Defective GWPs in a varying environment | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1209 Estadística | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Kersting, G. & Minuesa, C. (2022) Defective Galton-Watson processes in a varying environment. Bernoulli, 28(2), 1408-1431. https://doi.org/10.3150/21-BEJ1393 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Universidad de Extremadura. Departamento de Matemáticas | es_ES |
dc.relation.publisherversion | https://doi.org/10.3150/21-BEJ1393 | es_ES |
dc.identifier.doi | 10.3150/21-BEJ1393 | - |
dc.identifier.publicationtitle | Bernoulli | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 1408 | es_ES |
dc.identifier.publicationlastpage | 1431 | es_ES |
dc.identifier.publicationvolume | 28 | es_ES |
dc.identifier.orcid | 0000-0003-4871-0776 | es_ES |
dc.identifier.orcid | 0000-0002-8858-3145 | es_ES |
Colección: | DMATE - Artículos |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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1350-7265_28_1408.pdf | 288,03 kB | Adobe PDF | Descargar |
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