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A note on testing regime switching assumption based on recurrence times

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  • Sen, Rituparna
  • Hsieh, Fushing
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    Abstract

    By perceiving a regime switching model as an example of a nonlinear dynamical system, we employ recurrence time distribution of a chosen event to derive a test statistic for testing the null hypothesis of one regime versus the alternative of having two or more regimes involved in a time series. This simple chi-square type of statistic is compared with existing likelihood ratio based ones that are all, in general, very complex in construction. The power of our proposed test is rather satisfactory and the computing load required is significantly more economical.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 79 (2009)
    Issue (Month): 24 (December)
    Pages: 2443-2450

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    Handle: RePEc:eee:stapro:v:79:y:2009:i:24:p:2443-2450

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    1. Santhanam, M.S. & Kantz, Holger, 2005. "Long-range correlations and rare events in boundary layer wind fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 713-721.
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    3. Hamilton, James D., 1996. "Specification testing in Markov-switching time-series models," Journal of Econometrics, Elsevier, vol. 70(1), pages 127-157, January.
    4. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
    5. Hansen, Bruce E, 1992. "The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S61-82, Suppl. De.
    6. Schwert, G.W., 1988. "Business Cycles, Financial Crises And Stock Volatility," Papers 88-06, Rochester, Business - General.
    7. Hamilton, James D. & Susmel, Raul, 1994. "Autoregressive conditional heteroskedasticity and changes in regime," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
    8. Huntley Schaller & Simon Van Norden, 1997. "Regime switching in stock market returns," Applied Financial Economics, Taylor & Francis Journals, vol. 7(2), pages 177-191.
    9. Christopher M. Turner & Richard Startz & Charles R. Nelson, 1989. "A Markov Model of Heteroskedasticity, Risk, and Learning in the Stock Market," NBER Working Papers 2818, National Bureau of Economic Research, Inc.
    10. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1988. "Mean Reversion in Equilibrium Asset Prices," NBER Working Papers 2762, National Bureau of Economic Research, Inc.
    11. William Schwert, G., 1989. "Business cycles, financial crises, and stock volatility : Reply to Shiller," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 31(1), pages 133-137, January.
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    Cited by:
    1. Janczura, Joanna & Weron, Rafal, 2010. "Goodness-of-fit testing for regime-switching models," MPRA Paper 22871, University Library of Munich, Germany.
    2. Joanna Janczura & Rafal Weron, 2012. "Inference for Markov-regime switching models of electricity spot prices," HSC Research Reports HSC/12/01, Hugo Steinhaus Center, Wroclaw University of Technology.

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