学术活动
Parameter Estimation for Nonlinear Ordinary Differential
2011-05-05
来源:科技处 点击次数:主讲人:Prof. Hongqi Xue
(Department of Biostatistics and Computational Biology University of Rochester)
时间:5月5日(周四)16:00-17:00
地点:数学科学学院 412教室
备注:摘要:In this article, we consider parameter estimation methods for unknown coefficients of nonlinear ordinary differential equation (ODE) models with measurement errors, where analytic closed-form solutions are not available. We mainly introduce our work on this field: the establishment of the asymptotic properties of nonlinear least square estimators for ODE models. Then we give a comparative review on other estimation methods, such as two-stage smoothing estimation, numerical discretization-based estimation and principal differential analysis. Finally, we show the applications to biological dynamics (HIV and influenza).