An iterative procedure for the estimation of drift and diffusion coefficients of Langevin processes

被引:43
作者
Kleinhans, D [1 ]
Friedrich, R
Nawroth, A
Peinke, J
机构
[1] Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany
[2] Carl von Ossietzky Univ Oldenburg, Inst Phys, D-26111 Oldenburg, Germany
关键词
D O I
10.1016/j.physleta.2005.07.077
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A general method is proposed which allows one to estimate drift and diffusion coefficients of a stochastic process governed by a Langevin equation. It extends a previously devised approach [R. Friedrich et al., Phys. Lett. A 271 (2000) 2171, which requires sufficiently high sampling rates. The analysis is based on an iterative procedure minimizing the Kullback-Leibler distance between measured and estimated two time joint probability distributions of the process. 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:42 / 46
页数:5
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