On the Kolmogorov Distance for the Maximum Likelihood Estimator in the Explosive Ornstein-Uhlenbeck Process

The paper estimates the Kolmogorov distance between the distribution of the normalized maximum likelihood estimator of the positive drift parameter in the nonergodic Ornstein-Uhlenbeck process and the standard Cauchy distribution and shows exponential error rate for large time limit.

Bibliographic Details
Main Author: Jaya P. N. Bishwal
Format: Article
Language:English
Published: Ada Academica 2023-10-01
Series:European Journal of Mathematical Analysis
Online Access:https://adac.ee/index.php/ma/article/view/179