Nonparametric estimation of the division rate of an age dependent branching process
DOI10.1016/j.spa.2015.11.009zbMath1338.35434arXiv1412.5936OpenAlexW2964067868MaRDI QIDQ265648
Adélaïde Olivier, Marc Hoffmann
Publication date: 4 April 2016
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.5936
cell divisionnonparametric estimationbias selectionBellman-Harris processesgrowth-fragmentationminimax rates of convergence
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Statistical mechanics of polymers (82D60) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Eigenvalue problems for integral equations (45C05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Detection of cellular aging in a Galton-Watson process
- Statistical analysis of self-similar conservative fragmentation chains
- Limit theorems for Markov processes indexed by continuous time Galton-Watson trees
- From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes
- Pseudo-likelihood estimation for discretely observed multitype Bellman--Harris branching proc\-esses
- Limit theorems for age-structured populations
- Bayesian non-parametric estimation for age-dependent branching processes
- Sobolev embedding for stochastic processes
- LAN and LAMN for systems of interacting diffusions with branching and immigration
- Likelihood ratio processes for Markovian particle systems with killing and jumps
- Density estimation for biased data.
- Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application
- Statistical estimation of a growth-fragmentation model observed on a genealogical tree
- Nonparametric Estimation of the Division Rate of a Size-Structured Population
- Numerical solution of an inverse problem in size-structured population dynamics
- Non‐parametric Estimation of the Death Rate in Branching Diffusions
- Introduction to nonparametric estimation