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Some Aspects Of The Performance Of Diagnostic Checks In Bivariate Time Series Models

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  • D. S. Poskitt
  • A. R. Tremayne
Abstract
. This paper is concerned with the use of score, or Lagrangian multiplier and portmanteau tests of fitted model adequacy in vector autoregressive‐moving average processes. The relation between these alternative diagnostic checking devices is discussed from an asymptotic theoretic standpoint. Some finite sample properties of the tests are investigated in the context of bivariate models using Monte Carlo methods. Asymptotic theory is used to help determine the simulation design and also proves useful in appraising the experimental outcomes. The results provide evidence on the likely relative performance of the two procedures in practice and suggest that the score test is to be preferred.

Suggested Citation

  • D. S. Poskitt & A. R. Tremayne, 1986. "Some Aspects Of The Performance Of Diagnostic Checks In Bivariate Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 7(3), pages 217-233, May.
    • Handle: RePEc:bla:jtsera:v:7:y:1986:i:3:p:217-233
    DOI: 10.1111/j.1467-9892.1986.tb00505.x
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    File URL: https://doi.org/10.1111/j.1467-9892.1986.tb00505.x
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    Cited by:

    1. Robert C. Jung & A. R. Tremayne, 2003. "Testing for serial dependence in time series models of counts," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(1), pages 65-84, January.
    2. D.S. Poskitt, 2004. "Some Results on the Identification and Estimation of Vector ARMAX Processes," Monash Econometrics and Business Statistics Working Papers 12/04, Monash University, Department of Econometrics and Business Statistics.
    3. D. S. Poskitt, 2005. "A Note on the Specification and Estimation of ARMAX Systems," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(2), pages 157-183, March.
    4. D. S. Poskitt & M. O. Salau, 1995. "On The Relationship Between Generalized Least Squares And Gaussian Estimation Of Vector Arma Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(6), pages 617-645, November.

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