IDEAS home Printed from https://ideas.repec.org/a/bla/jecrev/v65y2014i1p25-41.html
   My bibliography  Save this article

Modified Quasi-Likelihood Ratio Test for Regime Switching

Author

Listed:
  • Hiroyuki Kasahara
  • Tatsuyoshi Okimoto
  • Katsumi Shimotsu

Abstract

type="main"> In this paper we propose a modified quasi-likelihood ratio test of the null hypothesis of one regime against the alternative of two regimes in Markov regime-switching models. The asymptotic distribution of the proposed test statistic is a simple function of Gaussian random variables, and the inference is no more complicated than in the standard case. Our simulations show that the proposed test has good finite sample size and power that are comparable to the quasi-likelihood ratio test of Cho and White. We apply our test to stock returns and Japanese policy functions.

Suggested Citation

  • Hiroyuki Kasahara & Tatsuyoshi Okimoto & Katsumi Shimotsu, 2014. "Modified Quasi-Likelihood Ratio Test for Regime Switching," The Japanese Economic Review, Japanese Economic Association, vol. 65(1), pages 25-41, March.
  • Handle: RePEc:bla:jecrev:v:65:y:2014:i:1:p:25-41
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/jere.12027
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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 61-82, Suppl. De.
    2. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," The Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
    3. Henning Bohn, 1998. "The Behavior of U. S. Public Debt and Deficits," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(3), pages 949-963.
    4. Evans, Martin & Wachtel, Paul, 1993. "Were price changes during the Great Depression anticipated? : Evidence from nominal interest rates," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 3-34, August.
    5. Doi, Takero & Hoshi, Takeo & Okimoto, Tatsuyoshi, 2011. "Japanese government debt and sustainability of fiscal policy," Journal of the Japanese and International Economies, Elsevier, vol. 25(4), pages 414-433.
    6. 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 357-384, March.
    7. Okimoto, Tatsuyoshi, 2008. "New Evidence of Asymmetric Dependence Structures in International Equity Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(3), pages 787-815, September.
    8. Jin Seo Cho & Halbert White, 2007. "Testing for Regime Switching," Econometrica, Econometric Society, vol. 75(6), pages 1671-1720, November.
    9. Hanfeng Chen & Jiahua Chen & John D. Kalbfleisch, 2004. "Testing for a finite mixture model with two components," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 95-115, February.
    10. Inoue, Tomoo & Okimoto, Tatsuyoshi, 2008. "Were there structural breaks in the effects of Japanese monetary policy? Re-evaluating policy effects of the lost decade," Journal of the Japanese and International Economies, Elsevier, vol. 22(3), pages 320-342, September.
    11. Smith, Aaron & Naik, Prasad A. & Tsai, Chih-Ling, 2006. "Markov-switching model selection using Kullback-Leibler divergence," Journal of Econometrics, Elsevier, vol. 134(2), pages 553-577, October.
    12. Troy Davig & Eric M. Leeper, 2007. "Fluctuating Macro Policies and the Fiscal Theory," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 247-316, National Bureau of Economic Research, Inc.
    13. Hanfeng Chen & Jiahua Chen & John D. Kalbfleisch, 2001. "A modified likelihood ratio test for homogeneity in finite mixture models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(1), pages 19-29.
    14. Hamilton, James D. & Susmel, Raul, 1994. "Autoregressive conditional heteroskedasticity and changes in regime," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Zhou, Jian, 2016. "A high-frequency analysis of the interactions between REIT return and volatility," Economic Modelling, Elsevier, vol. 56(C), pages 102-108.
    2. Jiang, George J. & Lo, Ingrid, 2014. "Private information flow and price discovery in the U.S. treasury market," Journal of Banking & Finance, Elsevier, vol. 47(C), pages 118-133.
    3. Al-Shboul, Mohammad & Anwar, Sajid, 2016. "Fractional integration in daily stock market indices at Jordan's Amman stock exchange," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 16-37.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kasahara, Hiroyuki & Shimotsu, Katsumi, 2019. "Asymptotic properties of the maximum likelihood estimator in regime switching econometric models," Journal of Econometrics, Elsevier, vol. 208(2), pages 442-467.
    2. Masaru Chiba, 2023. "Robust and efficient specification tests in Markov-switching autoregressive models," Statistical Inference for Stochastic Processes, Springer, vol. 26(1), pages 99-137, April.
    3. Chevallier, Julien, 2011. "Evaluating the carbon-macroeconomy relationship: Evidence from threshold vector error-correction and Markov-switching VAR models," Economic Modelling, Elsevier, vol. 28(6), pages 2634-2656.
    4. Jean-Marie Dufour & Richard Luger, 2017. "Identification-robust moment-based tests for Markov switching in autoregressive models," Econometric Reviews, Taylor & Francis Journals, vol. 36(6-9), pages 713-727, October.
    5. Hiroyuki Kasahara & Katsumi Shimotsu, 2017. "Asymptotic Properties of the Maximum Likelihood Estimator in Regime Switching Econometric Models," CIRJE F-Series CIRJE-F-1049, CIRJE, Faculty of Economics, University of Tokyo.
    6. Hamilton, J.D., 2016. "Macroeconomic Regimes and Regime Shifts," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 163-201, Elsevier.
    7. António AFONSO & Priscilla TOFFANO, 2013. "Fiscal regimes in the EU," Working Papers of Department of Economics, Leuven ces13.06, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    8. Shaw, Charles, 2018. "Regime-Switching And Levy Jump Dynamics In Option-Adjusted Spreads," MPRA Paper 94154, University Library of Munich, Germany, revised 27 May 2019.
    9. Lee, Hwa-Taek & Yoon, Gawon, 2007. "Does Purchasing Power Parity Hold Sometimes? Regime Switching in Real Exchange Rates," Economics Working Papers 2007-24, Christian-Albrechts-University of Kiel, Department of Economics.
    10. Baele, Lieven, 2005. "Volatility Spillover Effects in European Equity Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 40(2), pages 373-401, June.
    11. Nan Li & Simon S. Kwok, 2021. "Jointly determining the state dimension and lag order for Markov‐switching vector autoregressive models," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(4), pages 471-491, July.
    12. Wang, Ping & Theobald, Mike, 2008. "Regime-switching volatility of six East Asian emerging markets," Research in International Business and Finance, Elsevier, vol. 22(3), pages 267-283, September.
    13. Sen, Rituparna & Hsieh, Fushing, 2009. "A note on testing regime switching assumption based on recurrence times," Statistics & Probability Letters, Elsevier, vol. 79(24), pages 2443-2450, December.
    14. Hwa-Taek Lee & Gawon Yoon, 2013. "Does purchasing power parity hold sometimes? Regime switching in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 45(16), pages 2279-2294, June.
    15. Billio, Monica & Getmansky, Mila & Pelizzon, Loriana, 2012. "Dynamic risk exposures in hedge funds," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3517-3532.
    16. Giovanna Bua & Carmine Trecroci, 2019. "International equity markets interdependence: bigger shocks or contagion in the 21st century?," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 155(1), pages 43-69, February.
    17. Chevallier, Julien, 2011. "A model of carbon price interactions with macroeconomic and energy dynamics," Energy Economics, Elsevier, vol. 33(6), pages 1295-1312.
    18. Vadim Marmer, 2008. "Testing the null hypothesis of no regime switching with an application to GDP growth rates," Empirical Economics, Springer, vol. 35(1), pages 101-122, August.
    19. Smith, Aaron & Naik, Prasad A. & Tsai, Chih-Ling, 2006. "Markov-switching model selection using Kullback-Leibler divergence," Journal of Econometrics, Elsevier, vol. 134(2), pages 553-577, October.
    20. Doi, Takero & Hoshi, Takeo & Okimoto, Tatsuyoshi, 2011. "Japanese government debt and sustainability of fiscal policy," Journal of the Japanese and International Economies, Elsevier, vol. 25(4), pages 414-433.

    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:bla:jecrev:v:65:y:2014:i:1:p:25-41. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/jeaaaea.html .

    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.