Volatility and Time Series Econometrics: Essays in Honor of Robert F. .Engle Edited by Tim Bollerslev, Jeffrey R. Russell, and Mark W. Watson OXFORD UNIVERSITY PRESS ...

This paper focuses on the diagnostic checking of vector ARMA (VARMA) models with multivariate GARCH errors. For a fitted VARMA-GARCH model with Gaussian or Student-t innovations, we derive the asymptotic distributions of autocorrelation matrices of the cross-product vector of standardized...

Most asset return series, especially those in high frequency, show high excess kurtosis and persistence in volatility that cannot be adequately described by the generalized conditional heteroscedastic (GARCH) model, even with heavy-tailed innovations. Many researchers have argued that these...