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Estimation Of Autoregressive Moving‐Average Order Given An Infinite Number Of Models And Approximation Of Spectral Densities

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  • B. M. Pötscher

Abstract

. A modification of the minimum Akaike information criterion (AIC) procedure (and of related procedures like the Bayesian information criterion (BIC)) for order estimation in autoregressive moving‐average (ARMA) models is introduced. This procedure has the advantage that consistency for the order estimators obtained via this procedure can be established without restricting attention to only a finite number of models. The behaviour of these newly introduced order estimators is also analysed for the case when the data‐generating process is not an ARMA process (transfer function/spectral density approximation). Furthermore, the behaviour of the order estimators obtained via minimization of BIC (or of related criteria) is investigated for a non‐ARMA data‐generating process.

Suggested Citation

  • B. M. Pötscher, 1990. "Estimation Of Autoregressive Moving‐Average Order Given An Infinite Number Of Models And Approximation Of Spectral Densities," Journal of Time Series Analysis, Wiley Blackwell, vol. 11(2), pages 165-179, March.
    • Handle: RePEc:bla:jtsera:v:11:y:1990:i:2:p:165-179
    DOI: 10.1111/j.1467-9892.1990.tb00049.x
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    Cited by:

    1. Galeano, Pedro, 2004. "Model selection criteria and quadratic discrimination in ARMA and SETAR time series models," DES - Working Papers. Statistics and Econometrics. WS ws041406, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. Donald W.K. Andrews & Liu, Xuemei Liu & Werner Ploberger, 1996. "Tests of Seasonal and Non-Seasonal Serial Correlation," Cowles Foundation Discussion Papers 1124, Cowles Foundation for Research in Economics, Yale University.
    3. Jesús Gonzalo & Jean‐Yves Pitarakis, 2002. "Lag length estimation in large dimensional systems," Journal of Time Series Analysis, Wiley Blackwell, vol. 23(4), pages 401-423, July.
    4. Dierk Herzer & Stephan Klasen & Felicitas Nowak-Lehmann D., 2006. "In search of FDI-led growth in developing countries," Ibero America Institute for Econ. Research (IAI) Discussion Papers 150, Ibero-America Institute for Economic Research.
    5. Nankervis, John C. & Savin, N. E., 2010. "Testing for Serial Correlation: Generalized Andrews–Ploberger Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(2), pages 246-255.
    6. repec:cte:wsrepe:ws011409 is not listed on IDEAS

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