IDEAS home Printed from https://ideas.repec.org/p/eus/wpaper/ec0102.html
   My bibliography  Save this paper

A Simple Test for Unit Root Bilinearity

Author

Listed:
  • Wojciech Charemza
  • Mikhail Lifshits

    (St. Petersburg State University)

  • Svetlana Makarova

Abstract

The paper introduces a t-ratio type test for detecting bilinearity in a stochastic unit root process. It appears that such process is a realistic approximation for many economic and financial time series. It is shown that, under the null of no bilinearity, the tests statistics are asymptotically normally distributed. Proofs of this asymptotic normality requires the Gihman and Skorohod theory for multivariate diffusion processes. Finite sample results describe speed of convergence, power of the tests and possible distortions to unit root testing which might appear due to the presence of bilinearity. It is concluded that the two-step testing procedure suggested here (the first step for the linear unit root and the second step for its bilinearity) is consistent in the sense that the size of step one test is not affected by the possible detection of bilinearity at step two.

Suggested Citation

  • Wojciech Charemza & Mikhail Lifshits & Svetlana Makarova, 2002. "A Simple Test for Unit Root Bilinearity," EUSP Department of Economics Working Paper Series Ec-01/02, European University at St. Petersburg, Department of Economics, revised 29 Mar 2002.
  • Handle: RePEc:eus:wpaper:ec0102 Note: Paper submitted to 57th Econometric Society European Meeting, February 2002, http://www.eea-esem.com/papers/eea-esem/esem2002/617/Bilinear.pdf
    as

    Download full text from publisher

    File URL: https://eu.spb.ru/images/ec_dep/wp/ec-01_02.pdf
    Download Restriction: no

    More about this item

    Keywords

    time-series econometrics; testing; nonstationary bilinear processes;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    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:eus:wpaper:ec0102. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mikhail Pakhnin). General contact details of provider: http://edirc.repec.org/data/feeusru.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.