Large deviations for the squared radial Ornstein-Uhlenbeck process

Marie du Roy de Chaumaray

Published 2014-07-18, updated 2015-09-02Version 2

We establish large deviation principles for the couple of the maximum likelihood estimators of dimensional and drift coefficients in the generalised squared radial Ornstein-Uhlenbeck process. We focus our attention to the most tractable situation where the dimensional parameter $a>2$ and the drift parameter $b<0$. In contrast to the previous literature, we state large deviation principles when both dimensional and drift coefficient are estimated simultaneously.