An automatic Portmanteau test for serial correlation
This article introduces a data-driven Box-Pierce test for serial correlation. The proposed test is very attractive compared to the existing ones. In particular, implementation of this test is extremely simple for two reasons: first, the researcher does not need to specify the order of the autocorrelation tested, since the test automatically chooses this number; second, its asymptotic null distribution is chi-square with one degree of freedom, so there is no need of using a bootstrap procedure to estimate the critical values. In addition, the test is robust to the presence of conditional heteroskedasticity of unknown form. Finally, the proposed test presents higher power in simulations than the existing ones for models commonly employed in empirical finance.
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- Bent Nielsen, 2003.
"Correlograms for non-stationary autoregressions,"
2003-W11, Economics Group, Nuffield College, University of Oxford.
- Robinson, P. M., 1991. "Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regression," Journal of Econometrics, Elsevier, vol. 47(1), pages 67-84, January.
- Hong, Yongmiao, 1996. "Consistent Testing for Serial Correlation of Unknown Form," Econometrica, Econometric Society, vol. 64(4), pages 837-64, July.
- Lobato, I.N. & Nankervis, John C. & Savin, N.E., 2002. "Testing For Zero Autocorrelation In The Presence Of Statistical Dependence," Econometric Theory, Cambridge University Press, vol. 18(03), pages 730-743, June.
- R. L. Eubank, 2000. "Testing for No Effect by Cosine Series Methods," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(4), pages 747-763.
- Horowitz, Joel L. & Lobato, I.N. & Nankervis, John C. & Savin, N.E., 2006. "Bootstrapping the Box-Pierce Q test: A robust test of uncorrelatedness," Journal of Econometrics, Elsevier, vol. 133(2), pages 841-862, August.
- Miguel A. Delgado & Carlos Velasco, 2009.
"A new class of distribution-free tests for time series models specification,"
Economics Working Papers
we090904, Universidad Carlos III, Departamento de Economía.
- Miguel A. Delgado & Carlos Velasco, 2007. "A new class of distribution-free tests for time series models specification," Economics Working Papers we078047, Universidad Carlos III, Departamento de Economía.
- Robert E. Cumby & John Huizinga, 1990.
"Testing The Autocorrelation Structure of Disturbances in Ordinary Least Squares and Instrumental Variables Regressions,"
NBER Technical Working Papers
0092, National Bureau of Economic Research, Inc.
- Cumby, Robert E & Huizinga, John, 1992. "Testing the Autocorrelation Structure of Disturbances in Ordinary Least Squares and Instrumental Variables Regressions," Econometrica, Econometric Society, vol. 60(1), pages 185-95, January.
- Lo, Andrew W. & MacKinlay, A. Craig, 1989.
"The size and power of the variance ratio test in finite samples : A Monte Carlo investigation,"
Journal of Econometrics,
Elsevier, vol. 40(2), pages 203-238, February.
- Andrew W. Lo & Craig A. MacKinlay, . "The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation," Rodney L. White Center for Financial Research Working Papers 28-87, Wharton School Rodney L. White Center for Financial Research.
- Andrew W. Lo & A. Craig MacKinlay, 1988. "The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation," NBER Technical Working Papers 0066, National Bureau of Economic Research, Inc.
- Escanciano, Juan Carlos & Mayoral, Silvia, 2010.
"Data-driven smooth tests for the martingale difference hypothesis,"
Computational Statistics & Data Analysis,
Elsevier, vol. 54(8), pages 1983-1998, August.
- Juan Carlos Escanciano & Silvia Mayoral, . "Data-Driven Smooth Tests for the Martingale Difference Hypothesis," Faculty Working Papers 01/07, School of Economics and Business Administration, University of Navarra.
- Durlauf, Steven N., 1991.
"Spectral based testing of the martingale hypothesis,"
Journal of Econometrics,
Elsevier, vol. 50(3), pages 355-376, December.
- Steven N. Durlauf, 1992. "Spectral Based Testing of the Martingale Hypothesis," NBER Technical Working Papers 0090, National Bureau of Economic Research, Inc.
- Godfrey, Leslie G, 1978. "Testing for Higher Order Serial Correlation in Regression Equations When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1303-10, November.
- Tadeusz Inglot & Teresa Ledwina, 2001. "Intermediate Approach to Comparison of Some Goodness-of-Fit Tests," Annals of the Institute of Statistical Mathematics, Springer, vol. 53(4), pages 810-834, December.
- Weiss, Andrew A, 1986. "ARCH and Bilinear Time Series Models: Comparison and Combination," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(1), pages 59-70, January.
- Neuhaus, Georg, 1976. "Asymptotic power properties of the Cramér-von Mises test under contiguous alternatives," Journal of Multivariate Analysis, Elsevier, vol. 6(1), pages 95-110, March.
- Bera, Anil K & Higgins, Matthew L, 1993. " ARCH Models: Properties, Estimation and Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 7(4), pages 305-66, December.
- Francq, Christian & Roy, Roch & Zakoian, Jean-Michel, 2005. "Diagnostic Checking in ARMA Models With Uncorrelated Errors," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 532-544, June.
- Fan J. & Huang L-S., 2001. "Goodness-of-Fit Tests for Parametric Regression Models," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 640-652, June.
- Deo, Rohit S., 2000. "Spectral tests of the martingale hypothesis under conditional heteroscedasticity," Journal of Econometrics, Elsevier, vol. 99(2), pages 291-315, December.
- Lobato, Ignacio N & Robinson, Peter M, 1998. "A Nonparametric Test for I(0)," Review of Economic Studies, Wiley Blackwell, vol. 65(3), pages 475-95, July.
- Escanciano, J. Carlos, 2009. "On The Lack Of Power Of Omnibus Specification Tests," Econometric Theory, Cambridge University Press, vol. 25(01), pages 162-194, February.
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