Title :

Estimating the Division Kernel of a Size-Structured Population

Author(s) :

Hoang, van Ha [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

English keyword(s) :

random size-structured population
nonparametric estimation
optimal rate
penalization
adaptive estimator
Goldenshluger-Lepski's method
division kernel

HAL domain(s) :

Mathématiques [math]/Statistiques [math.ST]
Mathématiques [math]/Probabilités [math.PR]

English abstract : [en]

We consider a size-structured population describing the cell divisions. The cell population is described by an empirical measure and we observe the divisions in the continuous time interval [0, T ]. We address here the ...
Show more >We consider a size-structured population describing the cell divisions. The cell population is described by an empirical measure and we observe the divisions in the continuous time interval [0, T ]. We address here the problem of estimating the division kernel h (or fragmentation kernel) in case of complete data. An adaptive estimator of h is constructed based on a kernel function K with a fully data-driven bandwidth selection method. We obtain an oracle inequality and an exponential convergence rate, for which optimality is considered.Show less >

Language :

Anglais

ANR Project :

Calibration statistique

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL