Identification for linear stochastic systems driven by fractional Brownian motion

Prakasa Rao, B. L. S. (2004) Identification for linear stochastic systems driven by fractional Brownian motion Stochastic Analysis and Applications, 22 (6). pp. 1487-1509. ISSN 0736-2994

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Related URL: http://dx.doi.org/10.1081/SAP-200029489

Abstract

We apply Grenander's method of sieves to the problem of identification or estimation of the "drift" function for linear stochastic systems driven by a fractional Brownian motion (fBm). We use an increasing sequence of finite dimensional subspaces of the parameter space as the natural sieves on which we maximise the likelihood function.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Linear Stochastic Systems; Stochastic Differential Equations; Fractional Ornstein-Uhlenbeck Process; Fractional Brownian Motion; Identification; Nonparametric Estimation; Consistency; Asymptotic Normality; Method of Sieves
ID Code:37702
Deposited On:26 Apr 2011 12:46
Last Modified:26 Apr 2011 12:46

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