[图书][B] Mixed effects models for the population approach: models, tasks, methods and tools
M Lavielle - 2014 - books.google.com
Wide-Ranging Coverage of Parametric Modeling in Linear and Nonlinear Mixed Effects
Models Mixed Effects Models for the Population Approach: Models, Tasks, Methods and …
Models Mixed Effects Models for the Population Approach: Models, Tasks, Methods and …
Singularity, misspecification and the convergence rate of EM
A line of recent work has analyzed the behavior of the Expectation-Maximization (EM)
algorithm in the well-specified setting, in which the population likelihood is locally strongly …
algorithm in the well-specified setting, in which the population likelihood is locally strongly …
Stochastic differential mixed‐effects models
U Picchini, ADE GAETANO… - Scandinavian Journal of …, 2010 - Wiley Online Library
Stochastic differential equations have been shown useful in describing random continuous
time processes. Biomedical experiments often imply repeated measurements on a series of …
time processes. Biomedical experiments often imply repeated measurements on a series of …
Nadaraya–Watson estimator for IID paths of diffusion processes
This paper deals with a nonparametric Nadaraya–Watson (NW) estimator of the drift function
computed from independent continuous observations of a diffusion process. Risk bounds on …
computed from independent continuous observations of a diffusion process. Risk bounds on …
Nonparametric drift estimation for iid paths of stochastic differential equations
F Comte, V Genon-Catalot - The Annals of Statistics, 2020 - JSTOR
We consider N independent stochastic processes (Xi (t), t∈[0, T]), i= 1,..., N, defined by a
one-dimensional stochastic differential equation, which are continuously observed …
one-dimensional stochastic differential equation, which are continuously observed …
Practical estimation of high dimensional stochastic differential mixed-effects models
U Picchini, S Ditlevsen - Computational Statistics & Data Analysis, 2011 - Elsevier
Stochastic differential equations (SDEs) are established tools for modeling physical
phenomena whose dynamics are affected by random noise. By estimating parameters of an …
phenomena whose dynamics are affected by random noise. By estimating parameters of an …
Maximum likelihood estimation for stochastic differential equations with random effects
M Delattre, V GENON‐CATALOT… - … Journal of Statistics, 2013 - Wiley Online Library
We consider N independent stochastic processes (Xi (t), t∈[0, Ti]), i= 1,…, N, defined by a
stochastic differential equation with drift term depending on a random variable φi. The …
stochastic differential equation with drift term depending on a random variable φi. The …
Parametric inference for mixed models defined by stochastic differential equations
Non-linear mixed models defined by stochastic differential equations (SDEs) are
considered: the parameters of the diffusion process are random variables and vary among …
considered: the parameters of the diffusion process are random variables and vary among …
Coupling the SAEM algorithm and the extended Kalman filter for maximum likelihood estimation in mixed-effects diffusion models
M Delattre, M Lavielle - Statistics and its interface, 2013 - hal.science
We consider some general mixed-effects diffusion models, in which the observations are
made at discrete time points and include measurement errors. In these models, the …
made at discrete time points and include measurement errors. In these models, the …
A review on asymptotic inference in stochastic differential equations with mixed effects
M Delattre - Japanese Journal of Statistics and Data Science, 2021 - Springer
This paper is a survey of recent contributions on estimation in stochastic differential
equations with mixed effects. These models involve N stochastic differential equations with …
equations with mixed effects. These models involve N stochastic differential equations with …