English

Portmanteau test for a class of multivariate asymmetric power GARCH model

Statistics Theory 2024-04-22 v1 Statistics Theory

Abstract

We establish the asymptotic behaviour of the sum of squared residuals autocovariances and autocorrelations for the class of multi-variate power transformed asymmetric models. We then derive a portmanteau test. We establish the asymptotic distribution of the proposed statistics. These asymptotic results are illustrated by Monte Carlo experiments. An application to a bivariate real financial data is also proposed.

Keywords

Cite

@article{arxiv.2404.12685,
  title  = {Portmanteau test for a class of multivariate asymmetric power GARCH model},
  author = {Yacouba Boubacar Maïnassara and Othman Kadmiri and Bruno Saussereau},
  journal= {arXiv preprint arXiv:2404.12685},
  year   = {2024}
}