Maximum Likelihood Drift Estimation for Gaussian Process with Stationary Increments

The paper deals with the regression model X_t = \theta t + B_t , t\in[0, T ], where B=\{B_t, t\geq 0\} is a centered Gaussian process with stationary increments. We study the estimation of the unknown parameter $\theta$ and establish the formula for the likelihood function in terms of a solution to...

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Bibliographic Details
Main Authors: Yuliya Mishura, Kostiantyn Ralchenko, Sergiy Shklyar
Format: Article
Language:English
Published: Austrian Statistical Society 2017-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/672