IDEAS home Printed from https://ideas.repec.org/a/cup/macdyn/v5y2001i03p380-412_02.html
   My bibliography  Save this article

Testing Time-Series Stationarity Against An Alternative Whose Mean Is Periodic

Author

Listed:
  • Hinich, Melvin A.
  • Wild, Phillip

Abstract

We develop a test of the null hypothesis that an observed time series is a realization of a strictly stationary random process. Our test is based on the result that the kth value of the discrete Fourier transform of a sample frame has a zero mean under the null hypothesis. The test that we develop will have considerable power against an important form of nonstationarity hitherto not considered in the mainstream econometric time-series literature, that is, where the mean of a time series is periodic with random variation in its periodic structure. The size and power properties of the test are investigated and its applicability to real-world problems is demonstrated by application to three economic data sets.

Suggested Citation

  • Hinich, Melvin A. & Wild, Phillip, 2001. "Testing Time-Series Stationarity Against An Alternative Whose Mean Is Periodic," Macroeconomic Dynamics, Cambridge University Press, vol. 5(3), pages 380-412, June.
    • Handle: RePEc:cup:macdyn:v:5:y:2001:i:03:p:380-412_02
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S1365100500020034/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wild, Phillip & Hinich, Melvin J. & Foster, John, 2010. "Are daily and weekly load and spot price dynamics in Australia's National Electricity Market governed by episodic nonlinearity?," Energy Economics, Elsevier, vol. 32(5), pages 1082-1091, September.
    2. Nesmith Travis D & Jones Barry E, 2008. "Linear Cointegration of Nonlinear Time Series with an Application to Interest Rate Dynamics," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(1), pages 1-18, March.
    3. Hinich, Melvin J. & Serletis, Apostolos, 2008. "Randomly modulated periodicity in the US stock market," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 654-659.
    4. Denisa Roberts & Douglas Patterson, 2018. "A Second Order Cumulant Spectrum Test That a Stochastic Process is Strictly Stationary and a Step Toward a Test for Graph Signal Strict Stationarity," Papers 1801.06727, arXiv.org, revised Mar 2020.
    5. Phillip Wild & Melvin J. Hinich & John Foster, 2008. "The Use of Trimming to Improve the Performance of Tests for Nonlinear Serial Dependence with Application to the Australian National Electricity Market," Discussion Papers Series 367, School of Economics, University of Queensland, Australia.
    6. Melvin Hinich & Apostolos Serletis, 2007. "Randomly Modulated Periodic Signals in Alberta's Electricity Market," World Scientific Book Chapters, in: Quantitative And Empirical Analysis Of Energy Markets, chapter 19, pages 256-267, World Scientific Publishing Co. Pte. Ltd..
    7. Barry E. Jones & Travis D. Nesmith, 1999. "Tests for non-linear dynamics in systems of non-stationary economic time series: the case of short-term US interest rates," Finance and Economics Discussion Series 1999-55, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cup:macdyn:v:5:y:2001:i:03:p:380-412_02. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/mdy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.