English

Discrete time approximation of a COGARCH(p,q) model and its estimation

Statistics Theory 2015-12-08 v2 Statistics Theory

Abstract

In this paper, we construct a sequence of discrete time stochastic processes that converges in probability and in the Skorokhod metric to a COGARCH(p,q) model. The result is useful for the estimation of the continuous model defined for irregularly spaced time series data. The estimation procedure is based on the maximization of a pseudo log-likelihood function and is implemented in the yuima package.

Keywords

Cite

@article{arxiv.1511.00253,
  title  = {Discrete time approximation of a COGARCH(p,q) model and its estimation},
  author = {Stefano M. Iacus and Lorenzo Mercuri and Edit Rroji},
  journal= {arXiv preprint arXiv:1511.00253},
  year   = {2015}
}