A unified approach to standardized-residuals-based correlation tests for GARCH-type models

Yi-Ting Chen
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Yi-Ting Chen: Institute of Economics, Academia Sinica, Taipei, Taiwan, Postal: Institute of Economics, Academia Sinica, Taipei, Taiwan

Journal of Applied Econometrics, 2008, vol. 23, issue 1, pages 111-133

Abstract: In this paper, we propose a unified approach to generating standardized-residuals-based correlation tests for checking GARCH-type models. This approach is valid in the presence of estimation uncertainty, is robust to various standardized error distributions, and is applicable to testing various types of misspecifications. By using this approach, we also propose a class of power-transformed-series (PTS) correlation tests that provides certain robustifications and power extensions to the Box-Pierce, McLeod-Li, Li-Mak, and Berkes-Horváth-Kokoszka tests in diagnosing GARCH-type models. Our simulation and empirical example show that the PTS correlation tests outperform these existing autocorrelation tests in financial time series analysis. Copyright © 2008 John Wiley & Sons, Ltd.

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