Drift estimation for a Lévy-driven Ornstein–Uhlenbeck process with heavy tails.

Autor: Gushchin, Alexander, Pavlyukevich, Ilya, Ritsch, Marian
Zdroj: Statistical Inference for Stochastic Processes; Oct2020, Vol. 23 Issue 3, p553-570, 18p
Abstrakt: We consider the problem of estimation of the drift parameter of an ergodic Ornstein–Uhlenbeck type process driven by a Lévy process with heavy tails. The process is observed continuously on a long time interval [0, T], T → ∞ . We prove that the statistical model is locally asymptotic mixed normal and the maximum likelihood estimator is asymptotically efficient. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index