Parametric estimation for partially hidden diffusion processes sampled at discrete times

Stefano Iacus (), Masayuki Uchida and Nakahiro Yoshida

Stochastic Processes and their Applications, 2009, vol. 119, issue 5, 1580-1600

Abstract: For a one-dimensional diffusion process , we suppose that X(t) is hidden if it is below some fixed and known threshold [tau], but otherwise it is visible. This means a partially hidden diffusion process. The problem treated in this paper is the estimation of a finite-dimensional parameter in both drift and diffusion coefficients under a partially hidden diffusion process obtained by a discrete sampling scheme. It is assumed that the sampling occurs at regularly spaced time intervals of length hn such that nhn=T. The asymptotic is when hn-->0, T-->[infinity] and as n-->[infinity]. Consistency and asymptotic normality for estimators of parameters in both drift and diffusion coefficients are proved.

Keywords: Discrete; observations; Partially; observed; systems; Diffusion; processes (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Working Paper: Parametric estimation for partially hidden diffusion processes sampled at discrete times (2006)
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