Nonparametric adaptive inference of birth and death models in a large population limit
DOI10.4171/MSL/18zbMath1470.62049arXiv1903.00673MaRDI QIDQ2043821
Paulien Jeunesse, Alexandre Boumezoued, Marc Hoffmann
Publication date: 3 August 2021
Published in: Mathematical Statistics and Learning (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00673
concentration inequalitiesage-structured modelsnonparametric adaptive estimationlarge population limitanisotropic estimationGoldenshluger-Lepski method
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Cites Work
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- Nonparametric estimation of the division rate of an age dependent branching process
- Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
- Universal pointwise selection rule in multivariate function estimation
- Adaptive density deconvolution with dependent inputs
- Asymptotic methods in statistical decision theory
- Universal Donsker classes and metric entropy
- Non-existence of an adaptive estimator for the value of an unknown probability density
- Wavelets, approximation, and statistical applications
- LAN and LAMN for systems of interacting diffusions with branching and immigration
- Estimator selection: a new method with applications to kernel density estimation
- A microscopic probabilistic description of a locally regulated population and macroscopic approximations
- Likelihood ratio processes for Markovian particle systems with killing and jumps
- Kernel estimation in a nonparametric marker dependent hazard model
- Exponential inequalities for martingales, with application to maximum likelihood estimation for counting processes
- Adaptive estimation of the conditional intensity of marker-dependent counting processes
- Adaptive estimation for bifurcating Markov chains
- Statistical estimation of a growth-fragmentation model observed on a genealogical tree
- Inference for a nonlinear counting process regression model
- Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates
- Statistical inference in the Lexis diagram
- Empirical Processes with Applications to Statistics
- Mathematical Foundations of Infinite-Dimensional Statistical Models
- Topics in Advanced Econometrics
- On a Problem of Adaptive Estimation in Gaussian White Noise
- Improving HMD Mortality Estimates with HFD Fertility Data
- A Quantitative Comparison of Stochastic Mortality Models Using Data From England and Wales and the United States
- A NEW INFERENCE STRATEGY FOR GENERAL POPULATION MORTALITY TABLES
- Large population limit and time behaviour of a stochastic particle model describing an age-structured population
- A stochastic SIR model with contact-tracing: large population limits and statistical inference
- Estimation Strategies for Censored Lifetimes with a Lexis‐Diagram Type Model
