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Detecting and Diagnostic Checking Multivariate Conditional Heteroscedastic Time Series Models
Authors:H Wong  W K Li
Institution:(1) Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China;(2) Department of Statistics & Actuarial Science, The University of Hong Kong, Hong Kong, China
Abstract:Two tests for multivariate conditional heteroscedastic models are proposed. One is based on the cross-correlations of standardized squared residuals and the other is a score (Lagrange multiplier) test. The cross-correlations test can be used to detect the presence of multivariate conditional heteroscedasticity whereas the other test can be used for diagnostic checking. Simulation studies on the size and power of the test statistics are reported. The application of the tests is illustrated by an example using the S & P 500 and Sydney All Ordinary Indexes.
Keywords:ARCH models  squared residuals  cross-correlation tests  score test
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