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Testing for Noninvertible Models with Applications

Author

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  • Tsay, Ruey S

Abstract

This paper is concerned with testing for noninvertible time-series models. For a stationary but noninvertible autoregressive moving average model, the author constructs a derived process that is nonstationary but invertible with a nonstationary factor identical to the noninvertible factor of the original time series. The author then proposes a test procedure for testing noninvertibility using various unit-root test statistics available i n the literature. The limiting distributions of the test statistics employed depend on the mean as well as the initial innovations of th e original series.

Suggested Citation

  • Tsay, Ruey S, 1993. "Testing for Noninvertible Models with Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 225-233, April.
    • Handle: RePEc:bes:jnlbes:v:11:y:1993:i:2:p:225-33
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    Citations

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    Cited by:

    1. Ismael Sanchez & Daniel Pena, 2001. "Properties of Predictors in Overdifferenced Nearly Nonstationary Autoregression," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(1), pages 45-66, January.
    2. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    3. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911, October.
    4. Lütkepohl,Helmut & Krätzig,Markus (ed.), 2004. "Applied Time Series Econometrics," Cambridge Books, Cambridge University Press, number 9780521547871, October.
    5. Bin Chen & Jinho Choi & Juan Carlos Escanciano, 2017. "Testing for fundamental vector moving average representations," Quantitative Economics, Econometric Society, vol. 8(1), pages 149-180, March.
    6. Breitung, Jörg, 1998. "Canonical correlation statistics for testing the cointegration rank in a reversed order," SFB 373 Discussion Papers 1998,105, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    7. Consuelo Arellano & Sastry G. Pantula, 1995. "Testing For Trend Stationarity Versus Difference Stationarity," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(2), pages 147-164, March.
    8. Choi, In & Chul Ahn, Byung, 1998. "Testing the null of stationarity for multiple time series," Journal of Econometrics, Elsevier, vol. 88(1), pages 41-77, November.
    9. Pokta, Suriani & Hart, Jeffrey D., 2008. "Approximating posterior probabilities in a linear model with possibly noninvertible moving average errors," Journal of Multivariate Analysis, Elsevier, vol. 99(1), pages 25-49, January.
    10. Ahn & Byung Chul, 1994. "Testing the null of stationarity in the presence of structural breaks for multiple time series," Econometrics 9411001, University Library of Munich, Germany, revised 08 Nov 1994.
    11. Hella, Heikki, 2003. "On robust ESACF identification of mixed ARIMA models," Bank of Finland Scientific Monographs, Bank of Finland, volume 0, number sm2003_027, March.

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