Large deviations for the squared radial Ornstein-Uhlenbeck process

Abstract

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.

References in corpus (1)

• The calculation of expectations for classes of diffusion processes by Lie symmetry methods

Cited by in corpus (1)

• Moderate deviations for parameters estimation in a geometrically ergodic Heston process