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

Romain Azaïs 1, 2 Alexandre Genadot 3, 4
1 BIGS - Biology, genetics and statistics
Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
4 CQFD - Quality control and dynamic reliability
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : 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.
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Article dans une revue
Test (Springer), 2014, pp.20. 〈10.1007/s11749-014-0410-6〉
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https://hal.inria.fr/hal-01079799
Contributeur : Romain Azaïs <>
Soumis le : lundi 3 novembre 2014 - 17:03:42
Dernière modification le : jeudi 11 janvier 2018 - 06:25:23

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Romain Azaïs, Alexandre Genadot. Semi-parametric inference for the absorption features of a growth-fragmentation model. Test (Springer), 2014, pp.20. 〈10.1007/s11749-014-0410-6〉. 〈hal-01079799〉

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