✍ Scribed by M. Arató; S. Baran; M. Ispány
No coin nor oath required. For personal study only.
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].
📜 SIMILAR VOLUMES
Let # be the Gauss measure on R d and L the Ornstein Uhlenbeck operator, which is self adjoint in L 2 (#). For every p in (1, ), p{2, set , p \*=arc sin |2Âp&1| and consider the sector The main result of this paper is that if M is a bounded holomorphic function on S ,\* p whose boundary values on S
An asymptotic analysis is presented for estimation in the three-parameter Ornstein-Uhlenbeck process, where the parameters are the local mean, the drift, and the variance. We are interested in the case when the damping parameter (A, or AT = s) is nearly zero. The asymptotic sufficient statistics can