Moment based estimation for the multivariate COGARCH(1,1) process
Statistics Theory
2021-02-03 v2 Methodology
Statistics Theory
Abstract
For the multivariate COGARCH process, we obtain explicit expressions for the second-order structure of the "squared returns" process observed on an equidistant grid. Based on this, we present a generalized method of moments estimator for its parameters. Under appropriate moment and strong mixing conditions, we show that the resulting estimator is consistent and asymptotically normal. Sufficient conditions for strong mixing, stationarity and identifiability of the model parameters are discussed in detail. We investigate the finite sample behavior of the estimator in a simulation study.
Cite
@article{arxiv.1909.12378,
title = {Moment based estimation for the multivariate COGARCH(1,1) process},
author = {Thiago do Rêgo Sousa and Robert Stelzer},
journal= {arXiv preprint arXiv:1909.12378},
year = {2021}
}
Comments
36 pages, 7 figures