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A Goodness‐Of‐Fit Test For Autoregressive Moving‐Average Models Based On The Standardized Sample Spectral Distribution Of The Residuals

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  • Santiago Velilla

Abstract

. A stochastic process derived from the standardized sample spectral density of the residuals of a causal and invertible ARMA(p, q) model is introduced to construct a goodness‐of‐fit procedure. The test statistics considered have a proper limiting distribution which is free of unknown parameters and which, unlike some well‐known goodness‐of‐fit statistics based on the residuals, does not depend on the sample size.

Suggested Citation

  • Santiago Velilla, 1994. "A Goodness‐Of‐Fit Test For Autoregressive Moving‐Average Models Based On The Standardized Sample Spectral Distribution Of The Residuals," Journal of Time Series Analysis, Wiley Blackwell, vol. 15(6), pages 637-647, November.
  • Handle: RePEc:bla:jtsera:v:15:y:1994:i:6:p:637-647
    DOI: 10.1111/j.1467-9892.1994.tb00218.x
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    Cited by:

    1. Velilla Cerdan, Santiago, 1996. "On the cumulated periodogram goodness-of-fit test in ARMA models," DES - Working Papers. Statistics and Econometrics. WS 10721, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. Pena D. & Rodriguez J., 2002. "A Powerful Portmanteau Test of Lack of Fit for Time Series," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 601-610, June.

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