Numerical discretization-based kernel type estimation methods for ordinary differential equation models

DOI10.1007/s10114-015-4256-yzbMath1327.62212OpenAlexW2196660549WikidataQ115385216 ScholiaQ115385216MaRDI QIDQ2516020

Lihong Chen, Tao Hu, Yanping Qiu, Heng-Jian Cui

Publication date: 10 August 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4256-y

zbMATH Keywords

parametric identificationlocal polynomial fittingkernel smoothingordinary differential equationnumerical discretizationnonparametric regressiontwo-stage method

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35) Nonparametric estimation (62G05)

Related Items

A Galerkin discretisation-based identification for parameters in nonlinear mechanical systems

Uses Software

• NEWUOA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\sqrt{n}\)-consistent parameter estimation for systems of ordinary differential equations: bypassing numerical integration via smoothing
• Sieve estimation of constant and time-varying coefficients in nonlinear ordinary differential equation models by considering both numerical error and measurement error
• Nonparametric estimators which can be ``plugged-in.
• Nonlinear time series. Nonparametric and parametric methods
• Weak convergence and empirical processes. With applications to statistics
• Parameter estimation of ODE's via nonparametric estimators
• Parameter estimation in dynamic systems
• On nonlinear regression estimator with denoised variables
• Robust Estimation for Ordinary Differential Equation Models
• Numerical Discretization-Based Estimation Methods for Ordinary Differential Equation Models via Penalized Spline Smoothing with Applications in Biomedical Research
• Solving Ordinary Differential Equations I
• Developments of NEWUOA for minimization without derivatives
• Efficient Local Estimation for Time-Varying Coefficients in Deterministic Dynamic Models With Applications to HIV-1 Dynamics
• A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
• Asymptotic Statistics
• On the Uniform Strong Consistency of Local Polynomial Regression Under Dependence Conditions
• Ordinary Differential Equations in Theory and Practice
• 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
• Numerical Methods for Ordinary Differential Equations