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http://dx.doi.org/10.5351/CKSS.2004.11.2.323

Ljung-Box Test in Unit Root AR-ARCH Model  

Kim, Eunhee (Department of Statistics, Seoul National University)
Ha, Jeongcheol (Solution Business Team, Korea Information Servic)
Jeon, Youngsook (Department of Statistics, Seoul National University)
Lee, Sangyeol (Department of Statistics, Seoul National University)
Publication Information
Communications for Statistical Applications and Methods / v.11, no.2, 2004 , pp. 323-327 More about this Journal
Abstract
In this paper, we investigate the limiting distribution of the Ljung-Box test statistic in the unit root AR models with ARCH errors. We show that the limiting distribution is approximately chi-square distribution with the degrees of freedom only depending on the number of autocorrelation lags appearing in the test. Some simulation results are provided for illustration.
Keywords
Unit root model; AR-ARCH model; Ljung-Box test statistic;
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  • Reference
1 Further results on the finite sample distribution of Monti's Portmanteau test for the adequacy of an ARMA(p, q) Model /
[ Kwan, A. C. C.;Wu, Y. ] / Biometrika   DOI   ScienceOn
2 On the measure of lack of fit in time series models /
[ Ljung, G. M.;Box, G. E. P. ] / Biometrika   DOI   ScienceOn
3 Significance levels of Box-Pierce portmanteau statistic in finite samples /
[ Davis, N.;Trigger, C. M.;Newbold, P. ] / Biometrika   DOI   ScienceOn
4 /
[ Granger, C. W.;Anderson, A. P. ] / An Introdution to Bilinear Time Series Models
5 /
[ Hamilton, J. D. ] / Time Series Analysis
6 Consistent testing for serial correlation of unknown form /
[ Hong, Y. ] / Econometrica
7 A proposal for residual autocorrelation test in linear models /
[ Monti, A. C. ] / Biometrika   DOI   ScienceOn
8 /
[ Tong, H. ] / Non-liner Time Series: A Dynamic System Approach
9 Diagnostic checking ARMA time series models using squared-residual autocorrelations /
[ Mcleod, A. I.;Li, W. K. ] / Journal of Time Series Analysis   DOI
10 Distribution of residual autocorrelations in autoregressive-integrated moving average time series models /
[ Box, G. E. P.;Pierce, D. A. ] / Journal of American Statistics Association   DOI   ScienceOn