Parameter Estimation and Optimal Filtering for Fractional Type Stochastic Systems

被引：35

作者：

M.L. Kleptsyna

A. Le Breton

M.-C. Roubaud

机构：

[1] Institute of Information Transmission Problems,Laboratoire de Modélisation et Calcul

[2] Université J. Fourier,LATP/ INRIA

[3] Université J. Fourier,undefined

来源：

Statistical Inference for Stochastic Processes | 2000年 / 3卷 / 1-2期

关键词：

fractional Brownian motion; innovation process; Girsanov formula; maximum likelihood; optimal filtering;

D O I：

10.1023/A:1009923431187

中图分类号：

学科分类号：

摘要：

Stochastic systems driven by fractional Brownian motions are investigated. At first analogs of the usual representation theorems and Girsanov's formula are derived. Then the tools are applied to solve some statistical problems of parameter estimation and optimal filtering.

引用

页码：173 / 182

页数：9

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