Can I read Statistical Inference for Continuous-time Locally Stationary Processes Using Stationary Approximations on EtoBox?

Statistical Inference for Continuous-time Locally Stationary Processes Using Stationary Approximations by Ströh, Bennet is a scholarly article available to read on EtoBox.

What is Statistical Inference for Continuous-time Locally Stationary Processes Using Stationary Approximations about?

We establish asymptotic properties of $M$-estimators, defined in terms of a contrast function and observations from a continuous-time locally stationary process. Using the stationary approximation of the sequence, $\theta$-weak dependence, and hereditary properties, we give sufficient conditions on the contrast function that ensure consistency and asymptotic normality of the $M$-estimator. As an example, we obtain consistency and asymptotic normality of a localized least squares estimator for observations from a sequence of time-varying L\'evy-driven Ornstein-Uhlenbeck processes. Furthermore, for a sequence of time-varying L\'evy-driven state space models, we show consistency of a localized Whittle estimator and an $M$-estimator that is based on a quasi maximum likelihood contrast. Simulation studies show the applicability of the estimation procedures.

Author

Ströh, Bennet

Published

2021

Language

EN