Portmanteau Goodness-of-Fit Test for Asymmetric Power GARCH Models

Michel Carbon and Christian Francq
Keywords: ARCH models, Leverage effect, Portmanteau test, Goodness-of-fit test, Diagnostic checking.
Abstract: The asymptotic distribution of a vector of autocorrelations of squared residuals is derived for a wide class of asymmetric GARCH models. Portmanteau adequacy tests are deduced. These results are obtained under moment assumptions on the iid process, but fat tails are allowed for the observed process, which is particularly relevant for series of financial returns. A Monte Carlo experiment and an illustration to financial series are also presented.
RePEc RePEc working paper
JASA Austrian Journal of Statistics 40, 55--64, 2011.