Semi-parametric inference for the absorption features of a growth-fragmentation model
| hal.structure.identifier | Biology, genetics and statistics [BIGS] | |
| dc.contributor.author | AZAÏS, Romain | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
| dc.contributor.author | GENADOT, Alexandre | |
| dc.date.accessioned | 2024-04-04T03:20:14Z | |
| dc.date.available | 2024-04-04T03:20:14Z | |
| dc.date.issued | 2014-10-31 | |
| dc.identifier.issn | 1133-0686 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194573 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.publisher | Spanish Society of Statistics and Operations Research/Springer | |
| dc.subject.en | Growth-fragmentation process | |
| dc.subject.en | Non ergodic piecewise-deterministic Markov process | |
| dc.subject.en | Fredholm integral equation | |
| dc.subject.en | Absorbing probability | |
| dc.subject.en | Semi- parametric estimation | |
| dc.title.en | Semi-parametric inference for the absorption features of a growth-fragmentation model | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s11749-014-0410-6 | |
| dc.subject.hal | Statistiques [stat] | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 1403.6769 | |
| bordeaux.journal | Test | |
| bordeaux.page | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01079799 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01079799v1 | |
| bordeaux.COinS | ctx_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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