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September 2011 Semiparametric modeling of autonomous nonlinear dynamical systems with application to plant growth
Debashis Paul, Jie Peng, Prabir Burman
Ann. Appl. Stat. 5(3): 2078-2108 (September 2011). DOI: 10.1214/11-AOAS459

Abstract

We propose a semiparametric model for autonomous nonlinear dynamical systems and devise an estimation procedure for model fitting. This model incorporates subject-specific effects and can be viewed as a nonlinear semiparametric mixed effects model. We also propose a computationally efficient model selection procedure. We show by simulation studies that the proposed estimation as well as model selection procedures can efficiently handle sparse and noisy measurements. Finally, we apply the proposed method to a plant growth data used to study growth displacement rates within meristems of maize roots under two different experimental conditions.

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Debashis Paul. Jie Peng. Prabir Burman. "Semiparametric modeling of autonomous nonlinear dynamical systems with application to plant growth." Ann. Appl. Stat. 5 (3) 2078 - 2108, September 2011. https://doi.org/10.1214/11-AOAS459

Information

Published: September 2011
First available in Project Euclid: 13 October 2011

zbMATH: 1228.62121
MathSciNet: MR2884932
Digital Object Identifier: 10.1214/11-AOAS459

Keywords: Autonomous dynamical systems , cross-validation , growth displacement rate , Levenberg–Marquardt method , semiparametric modeling

Rights: Copyright © 2011 Institute of Mathematical Statistics

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Vol.5 • No. 3 • September 2011
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