Local bandwidth selection for kernel density estimation in bifurcating Markov chain model

Autor: Penda, S Valere Bitseki, Roche, Angelina

We propose an adaptive estimator for the stationary distribution of a bifurcating Markov Chain on $\mathbb R^d$. Bifurcating Markov chains (BMC for short) are a class of stochastic processes indexed by regular binary trees. A kernel estimator is prop

Externí odkaz: http://arxiv.org/abs/1706.07034

Local bandwidth selection for kernel density estimation in a bifurcating Markov chain model

Autor: Angelina Roche, S. Valère Bitseki Penda

Publikováno v: Journal of Nonparametric Statistics
Journal of Nonparametric Statistics, American Statistical Association, 2020, 32 (3), pp.535-562. ⟨10.1080/10485252.2020.1789125⟩

International audience; We propose an adaptive estimator for the stationary distribution of a bifurcating Markov Chain onRd. Bifurcating Markov chains (BMC for short) are a class of stochastic processes indexed by regular binary trees. A kernel estim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7de44396763a47628693bd9c31bebb4f
https://hal.archives-ouvertes.fr/hal-03031788

Principe de déviations modérées pour des modèles bifurquants autorégressifs non-linéaires

Autor: Adélaïde Olivier, S. Valère Bitseki Penda

Publikováno v: Statistics and Probability Letters
Statistics and Probability Letters, Elsevier, 2018, 138, pp.20-26. 〈10.1016/j.spl.2018.02.037〉
Statistics and Probability Letters, Elsevier, 2018, 138, pp.20-26. ⟨10.1016/j.spl.2018.02.037⟩

International audience; Recently, nonparametric techniques have been proposed to study bifurcating autoregressive processes. One can build Nadaraya–Watson type estimators of the two autoregressive functions as in Bitseki Penda et al. (Bitseki Penda

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba63ba3ae95fbbd6cd8be81a61a9d9c7
https://hal.archives-ouvertes.fr/hal-01710079

Analyse statistique des modèles de croissance-fragmentation

Autor: Olivier, Adelaïde

Cette étude théorique est pensée en lien étroit avec un champ d'application : il s'agit de modéliser la croissance d'une population de cellules qui se divisent selon un taux de division inconnu, fonction d’une variable dite structurante – l�

Externí odkaz: http://www.theses.fr/2015PA090047/document

Exponential growth of bifurcating processes with ancestral dependence

Autor: Bernard Ycart, Sana Louhichi

Publikováno v: Advances in Applied Probability
Advances in Applied Probability, Applied Probability Trust, 2015, 47 (2), pp.545-564. ⟨10.1239/aap/1435236987⟩
Adv. in Appl. Probab. 47, no. 2 (2015), 545-564

Branching processes are classical growth models in cell kinetics. In their construction, it is usually assumed that cell lifetimes are independent random variables, which has been proved false in experiments. Models of dependent lifetimes are conside

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4bf7bd6c70440c7bb9eeeb6c171bcdd0
https://hal.archives-ouvertes.fr/hal-00851631