A simple approach to standardized-residuals-based higher-moment tests

Yi-Ting Chen*


研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)


We propose a new approach to the higher-moment tests for evaluating the standardized error distribution hypothesis of a conditional mean-and-variance model (such as a GARCH-type model). Our key idea is to purge the effect of estimating the conditional mean-and-variance parameters on the estimated higher moments by suitably using the first and second moments of the standardized residuals. The resulting higher-moment tests have a simple invariant form for various conditional mean-and-variance models, and are also applicable to the symmetry or independence hypothesis that does not involve a complete standardized error distribution. Thus, our tests are simple and flexible. Using our approach, we establish a class of skewness-kurtosis tests, characteristic-function-based moment tests, and Value-at-Risk tests for exploring the standardized error distribution and higher-order dependence structures. We also conduct a simulation to show the validity of our approach in purging the estimation effect, and provide an empirical example to show the usefulness of our tests in exploring conditional non-normality. (C) 2012 Elsevier B.V. All rights reserved.

原文American English
頁(從 - 到)427-453
期刊Journal of Empirical Finance
出版狀態Published - 9月 2012


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