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Testing Separate Time Series Models

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  • Michael McAleer
  • C. R. McKenzie
  • A. D. Hall

Abstract

. We develop simple procedures for testing the adequacy of separate time series models. The test statistics may be calculated using auxiliary regressions that are very similar to those used for calculating Lagrange multiplier test statistics. While the separate tests are designed to yield high power against separate alternatives, they are also powerful as diagnostic checks against a range of inappropriate alternatives. The small‐sample properties of the separate and Lagrange multiplier tests are compared on the basis of a Monte Carlo experiment. In these experiments it is found that the separate tests are frequently more powerful than the Lagrange multiplier tests, even for alternatives against which the latter are asymptotically optimal.

Suggested Citation

  • Michael McAleer & C. R. McKenzie & A. D. Hall, 1988. "Testing Separate Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 9(2), pages 169-189, March.
    • Handle: RePEc:bla:jtsera:v:9:y:1988:i:2:p:169-189
    DOI: 10.1111/j.1467-9892.1988.tb00462.x
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    Cited by:

    1. Colin R. McKenzie & Michael McAleer & Len Gill, 1999. "Simple Procedures for Testing Autoregressive Versus Moving Average Errors in Regression Models," The Japanese Economic Review, Japanese Economic Association, vol. 50(3), pages 239-252, September.
    2. McAleer, Michael, 1995. "The significance of testing empirical non-nested models," Journal of Econometrics, Elsevier, vol. 67(1), pages 149-171, May.
    3. Silvapulle, Paramsothy & King, Maxwell L., 1993. "Nonnested testing for autocorrelation in the linear regression model," Journal of Econometrics, Elsevier, vol. 58(3), pages 295-314, August.
    4. McAleer, Michael, 1994. "Sherlock Holmes and the Search for Truth: A Diagnostic Tale," Journal of Economic Surveys, Wiley Blackwell, vol. 8(4), pages 317-370, December.
    5. C. R. McKenzie & Michael McAleer, 2001. "Comparing Tests of Autoregressive Versus Moving Average Errors in Regression Models Using Bahadur's Asymptotic Relative Efficiency," ISER Discussion Paper 0537, Institute of Social and Economic Research, Osaka University.
    6. Franses, P. H., 1990. "Testing For White Noise In Time Series Models," Econometric Institute Archives 272394, Erasmus University Rotterdam.
    7. Adrian C. Darnell, 1994. "A Dictionary Of Econometrics," Books, Edward Elgar Publishing, number 118.
    8. G. C. Lim & C. R. McKenzie, 1998. "Testing the rationality of expectations in the Australian foreign exchange market using survey data with missing observations," Applied Financial Economics, Taylor & Francis Journals, vol. 8(2), pages 181-190.

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