Functionals of complex Ornstein-Uhlenbeck processes

The exact distribution of the sufficient statistics and distribution of the maximum likelihood estimator of the drift (damping) parameter in a stationary complex Ornstein-Uhlenbeck process, given by (1.1), is investigated. Complete tables of the distribution function for different levels are given by the help of MATLAB. The comparison with the earlier calculations are discussed. The relation of the famous model of Chandler Wobble proposed by Kolmogorov is investigated [1].