Application of one‐step method to parameter estimation in ODE models

DOI10.1111/stan.12124arXiv1503.07973WikidataQ55322298 ScholiaQ55322298MaRDI QIDQ6089166

Itai Dattner, Shota Gugushvili

Publication date: 14 December 2023

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07973

zbMATH Keywords

ordinary differential equationsLevenberg-Marquardt algorithmnon-linear least squaresintegral estimatorsmooth and match estimator

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)

Related Items (2)

Separable nonlinear least-squares parameter estimation for complex dynamic systems ⋮ Analytical solution of phosphate kinetics for hemodialysis

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal rate of direct estimators in systems of ordinary differential equations linear in functions of the parameters
• Robust parameter estimation for the Ornstein-Uhlenbeck process
• \(\sqrt{n}\)-consistent parameter estimation for systems of ordinary differential equations: bypassing numerical integration via smoothing
• A tracking approach to parameter estimation in linear ordinary differential equations
• Bayesian inference for differential equations
• Estimating Bayes factors via thermodynamic integration and population MCMC
• Asymptotic theory of nonlinear least squares estimation
• Discussion of parameter estimation in biological modelling: Algorithms for estimation and evaluation of the estimates
• Handbook of test problems in local and global optimization
• Efficient estimation in conditional single-index regression
• Mathematical biology. Vol. 1: An introduction.
• An ANOVA test for parameter estimability using data cloning with application to statistical inference for dynamic systems
• Numerical data fitting in dynamical systems. A practical introduction with applications and software. With CD-ROM
• Parameter estimation of ODE's via nonparametric estimators
• Recent developments in parameter estimation and structure identification of biochemical and genomic systems
• Dynamic data analysis. Modeling data with differential equations
• The use of splines with unknown end points in the identification of systems
• A model-based initial guess for estimating parameters in systems of ordinary differential equations
• Forcing Function Diagnostics for Nonlinear Dynamics
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
• On One-Step GM Estimates and Stability of Inferences in Linear Regression
• One-Step Huber Estimates in the Linear Model
• Asymptotic Statistics
• One‐step M‐estimators in the linear model, with dependent errors
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Efficient Estimation and Inferences for Varying-Coefficient Models
• Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
• Quick and Easy One-Step Parameter Estimation in Differential Equations
• Some Problems Associated with the Analysis of Multiresponse Data
• Asymptotic Properties of Non-Linear Least Squares Estimators
• Time-course window estimator for ordinary differential equations linear in the parameters

This page was built for publication: Application of one‐step method to parameter estimation in ODE models