Estimating the Division Kernel of a Size-Structured Population
Statistics Theory
2016-05-20 v4 Probability
Statistics Theory
Abstract
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.
Cite
@article{arxiv.1509.02872,
title = {Estimating the Division Kernel of a Size-Structured Population},
author = {Van Ha Hoang},
journal= {arXiv preprint arXiv:1509.02872},
year = {2016}
}