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Semi-parametric inference for the absorption features of a growth-fragmentation model

hal.structure.identifierBiology, genetics and statistics [BIGS]
dc.contributor.authorAZAÏS, Romain
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierQuality control and dynamic reliability [CQFD]
dc.contributor.authorGENADOT, Alexandre
dc.date.accessioned2024-04-04T03:20:14Z
dc.date.available2024-04-04T03:20:14Z
dc.date.issued2014-10-31
dc.identifier.issn1133-0686
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194573
dc.description.abstractEnIn the present paper, we focus on semi-parametric methods for estimating the absorption probability and the distribution of the absorbing time of a growth-fragmentation model observed within a long time interval. We establish that the absorption probability is the unique solution in an appropriate space of a Fredholm equation of the second kind whose parameters are unknown. We estimate this important characteristic of the underlying process by solving numerically the estimated Fredholm equation. Even if the study has been conducted for a particular model, our method is quite general.
dc.language.isoen
dc.publisherSpanish Society of Statistics and Operations Research/Springer
dc.subject.enGrowth-fragmentation process
dc.subject.enNon ergodic piecewise-deterministic Markov process
dc.subject.enFredholm integral equation
dc.subject.enAbsorbing probability
dc.subject.enSemi- parametric estimation
dc.title.enSemi-parametric inference for the absorption features of a growth-fragmentation model
dc.typeArticle de revue
dc.identifier.doi10.1007/s11749-014-0410-6
dc.subject.halStatistiques [stat]
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.identifier.arxiv1403.6769
bordeaux.journalTest
bordeaux.page20
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01079799
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01079799v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Test&rft.date=2014-10-31&rft.spage=20&rft.epage=20&rft.eissn=1133-0686&rft.issn=1133-0686&rft.au=AZA%C3%8FS,%20Romain&GENADOT,%20Alexandre&rft.genre=article


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