Authors: Dehling, Herold
Franke, Brice
Kott, Thomas
Title: Drift estimation for a periodic mean reversion process
Language (ISO): en
Abstract: In this paper we propose a periodic, mean-reverting Ornstein-Uhlenbeck process of the form dXt = (L(t) − alpha Xt) dt + sigma dBt, where L(t) is a periodic, parametric function. We apply maximum likelihood estimation for the drift parameters based on time-continuous observations. The estimator is given explicitly and we prove strong consistency and asymptotic normality as the observed number of periods tends to infinity. The essential idea of the asymptotic study is the interpretation of the stochastic process as a sequence of random variables that take values in some function space.
Subject Headings: Asymptotic normality
Maximum likelihood estimation
Ornstein-Uhlenbeck process
Time-inhomogeneous diffusion process
Issue Date: 2010-05-25T12:17:45Z
Appears in Collections:Sonderforschungsbereich (SFB) 823

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