Asymptotic efficiency and finite-sample properties of the generalized profiling estimation of parameters in ordinary differential equations
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Publication:847643
DOI10.1214/09-AOS724zbMath1181.62156arXiv0903.3400OpenAlexW3098144642MaRDI QIDQ847643
Publication date: 19 February 2010
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3400
parameter estimationconsistencyasymptotic normalityordinary differential equationsprofiling procedure
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
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Uses Software
Cites Work
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- An inequality for approximate solutions of ordinary differential equations
- Time series analysis via mechanistic models
- Optimal error bounds for cubic spline interpolation
- Estimation of HIV/AIDS parameters.
- A trust region SQP algorithm for equality constrained parameter estimation with simple parameter bounds
- Weak convergence and empirical processes. With applications to statistics
- Functional data analysis.
- Differential Equation Modeling of HIV Viral Fitness Experiments: Model Identification, Model Selection, and Multimodel Inference
- A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations
- Asymptotic Statistics
- Ordinary Differential Equations with Applications
- Identifiability of nonlinear systems with application to HIV/AIDS models
- IDENTIFIABILITY OF HIV/AIDS MODELS
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