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Testing For Cyclical Non‐Stationarity In Autoregressive Processes

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  • Robert M. Kunst

Abstract

This paper deals with the distributions evolving from the likelihood‐ratio test for the factor 1 −Bn in the lag polynomial Φ(B) under the basic assumption that the data series is generated by the autoregressive model Φ(B)Xt = εt where {εt} denotes Gaussian white noise. A characterization of the statistic and its asymptotic properties is given. Asymptotic and finite‐sample significance points are tabulated. The test procedure is illustrated by an economics example.

Suggested Citation

  • Robert M. Kunst, 1997. "Testing For Cyclical Non‐Stationarity In Autoregressive Processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 18(2), pages 123-135, March.
    • Handle: RePEc:bla:jtsera:v:18:y:1997:i:2:p:123-135
    DOI: 10.1111/1467-9892.00042
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    Cited by:

    1. Tomas Barrio Castro & Mariam Camarero & Cecilio Tamarit, 2015. "An analysis of the trade balance for OECD countries using periodic integration and cointegration," Empirical Economics, Springer, vol. 49(2), pages 389-402, September.
    2. Haldrup, Niels & Montanes, Antonio & Sanso, Andreu, 2005. "Measurement errors and outliers in seasonal unit root testing," Journal of Econometrics, Elsevier, vol. 127(1), pages 103-128, July.
    3. Sandra G. Feltham & David E.A. Giles, 1999. "Testing for Unit Roots in Semi-Annual Data," Econometrics Working Papers 9912, Department of Economics, University of Victoria.
    4. Luis A. Gil-Alana & OlaOluwa S. Yaya, 2021. "Testing fractional unit roots with non-linear smooth break approximations using Fourier functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(13-15), pages 2542-2559, November.
    5. Paulo Rodrigues & Denise Osborn, 1999. "Performance of seasonal unit root tests for monthly data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 985-1004.
    6. Svend Hylleberg, 2006. "Seasonal Adjustment," Economics Working Papers 2006-04, Department of Economics and Business Economics, Aarhus University.
    7. Haldrup, Niels & Montanes, Antonio & Sanso, Andreu, 2005. "Measurement errors and outliers in seasonal unit root testing," Journal of Econometrics, Elsevier, vol. 127(1), pages 103-128, July.
    8. Denise Osborn & Paulo Rodrigues, 2002. "Asymptotic Distributions Of Seasonal Unit Root Tests: A Unifying Approach," Econometric Reviews, Taylor & Francis Journals, vol. 21(2), pages 221-241.

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