Bayesian estimation of time-varying parameters in ordinary differential equation models with noisy time-varying covariates

DOI10.1080/03610918.2019.1565584zbMath1489.62130OpenAlexW2911310928WikidataQ115297562 ScholiaQ115297562MaRDI QIDQ5082564

Lixin Meng, Xue Zhang, Guozhong Feng, Jiwei Zhang

Publication date: 21 June 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2019.1565584

zbMATH Keywords

parameter estimationordinary differential equationtime-varying parameterDIC criterionBayesian penalized B-spline

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15)

Uses Software

• fda (R)

Cites Work

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• Robust specification of the roughness penalty prior distribution in spatially adaptive Bayesian P-splines models
• Time-varying coefficient estimation in differential equation models with noisy time-varying covariates
• Estimation of constant and time-varying dynamic parameters of HIV infection in a nonlinear differential equation model
• Bayesian item response modeling. Theory and applications.
• Sieve estimation of constant and time-varying coefficients in nonlinear ordinary differential equation models by considering both numerical error and measurement error
• Archimedean copula estimation using Bayesian splines smoothing techniques
• Multivariate adaptive regression splines
• Polynomial splines and their tensor products in extended linear modeling. (With discussions)
• Generalized structured additive regression based on Bayesian P-splines
• Functional data analysis.
• Parameter Estimation of Partial Differential Equation Models
• The Bayesian Analysis of Population Pharmacokinetic Models
• A Bayesian approach for estimating antiviral efficacy in HIV dynamic models
• M-estimation and B-spline approximation for varying coefficient models with longitudinal data
• Efficient Local Estimation for Time-Varying Coefficients in Deterministic Dynamic Models With Applications to HIV-1 Dynamics
• Flexible Parsimonious Smoothing and Additive Modeling
• A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
• Bayesian Smoothing and Regression Splines for Measurement Error Problems
• Bayesian Measures of Model Complexity and Fit
• Semiparametric and Nonparametric Regression Analysis of Longitudinal Data
• Bayesian P-spline estimation in hierarchical models specified by systems of affine differential equations
• Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
• Quick and Easy One-Step Parameter Estimation in Differential Equations
• Bayesian penalized B-spline estimation approach for epidemic models
• Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models
• Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System

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