Langevin过程漂移系数和扩散系数的迭代估计
An Iterative Procedure for the Estimation of Drift and Diffusion Coefficients of Langevin Processes
摘要:
提出了一种通用的方法,它允许一个估计漂移和扩散系数的随机过程所管辖的朗之万方程。它扩展了以前设计的方法[R。Friedrich等人,Physics Letters A 271,217(2000)],其需要足够高的采样率。分析是基于一个迭代过程,最小化测量和估计的两个时间联合概率分布的过程之间的Kullback-Leibler距离。
英文摘要:
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., Physics Letters A 271, 217 (2000)], 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.
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