Bayesian analysis of mixed-effect regression models driven by ordinary differential equations
DOI10.1007/s13571-019-00199-6zbMath1469.62297OpenAlexW2967447607MaRDI QIDQ2040659
Publication date: 14 July 2021
Published in: Sankhyā. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13571-019-00199-6
longitudinal datarandom effectsB-splinesBayesian inferencetwo-step methodordinary differential equations (ODE) models
Nonparametric regression and quantile regression (62G08) Numerical computation using splines (65D07) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) General nonlinear regression (62J02)
Uses Software
Cites Work
- Supremum norm posterior contraction and credible sets for nonparametric multivariate regression
- \(\sqrt{n}\)-consistent parameter estimation for systems of ordinary differential equations: bypassing numerical integration via smoothing
- Estimating mixed-effects differential equation models
- Bayesian two-step estimation in differential equation models
- A practical guide to splines
- Local asymptotics for regression splines and confidence regions
- Parameter estimation of ODE's via nonparametric estimators
- Mathematical modelling of the intravenous glucose tolerance test
- Bayesian inference for higher-order ordinary differential equation models
- Efficient Bayesian estimation and uncertainty quantification in ordinary differential equation models
- Bayesian Analysis of Growth Curves Using Mixed Models Defined by Stochastic Differential Equations
- A two-stage estimation method for random coefficient differential equation models with application to longitudinal HIV dynamic data
- High-Dimensional ODEs Coupled With Mixed-Effects Modeling Techniques for Dynamic Gene Regulatory Network Identification
- Adaptive Bayesian Procedures Using Random Series Priors
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
- Parametric Estimation of Ordinary Differential Equations With Orthogonality Conditions
- Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
- Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System
- Fundamentals of Nonparametric Bayesian Inference
- A method for the solution of certain non-linear problems in least squares
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