IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v81y2011i10p1541-1546.html
   My bibliography  Save this article

A test for self-exciting clustering mechanism

Author

Listed:
  • Fama, Yuchen
  • Pozdnyakov, Vladimir

Abstract

In this paper, we propose a test to distinguish between data with cluster pattern where the variables are dependent in a self-exciting fashion versus independently identically distributed random variables. We also developed asymptotic distribution of the test statistic with closed-form covariance structure. Comparisons with scan statistics are discussed in the context of simulated earthquake data. Applications to two data sets are discussed.

Suggested Citation

  • Fama, Yuchen & Pozdnyakov, Vladimir, 2011. "A test for self-exciting clustering mechanism," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1541-1546, October.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:10:p:1541-1546
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715211001702
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Glaz, Joseph & Zhang, Zhenkui, 2006. "Maximum scan score-type statistics," Statistics & Probability Letters, Elsevier, vol. 76(13), pages 1316-1322, July.
    2. 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.
    3. Bowman, Dale, 1999. "A parametric independence test for clustered binary data," Statistics & Probability Letters, Elsevier, vol. 41(1), pages 1-7, January.
    4. Yosihiko Ogata, 1998. "Space-Time Point-Process Models for Earthquake Occurrences," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(2), pages 379-402, June.
    5. Yu, Chang & Zelterman, Daniel, 2002. "Sums of dependent Bernoulli random variables and disease clustering," Statistics & Probability Letters, Elsevier, vol. 57(4), pages 363-373, May.
    Full references (including those not matched with items on IDEAS)

    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. RenÈ Garcia, 2002. "Are the Effects of Monetary Policy Asymmetric?," Economic Inquiry, Western Economic Association International, vol. 40(1), pages 102-119, January.
    2. Vigfusson, Robert, 1997. "Switching between Chartists and Fundamentalists: A Markov Regime-Switching Approach," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(4), pages 291-305, October.
    3. Shyh-Wei Chen, 2008. "Non-stationarity and Non-linearity in Stock Prices: Evidence from the OECD Countries," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-11.
    4. Fritsche, Jan Philipp & Klein, Mathias & Rieth, Malte, 2021. "Government spending multipliers in (un)certain times," Journal of Public Economics, Elsevier, vol. 203(C).
    5. Césaire A Meh & Vincenzo Quadrini & Yaz Terajima, 2024. "Limited Nominal Indexation of Optimal Financial Contracts," Journal of the European Economic Association, European Economic Association, vol. 22(2), pages 575-616.
    6. Jacobson Tor & Lindh Thomas & Warne Anders, 2002. "Growth, Saving, Financial Markets, and Markov Switching Regimes," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(4), pages 1-20, January.
    7. Gabriel Vasco J. & Alexandre Fernando & Bação Pedro, 2008. "The Consumption-Wealth Ratio under Asymmetric Adjustment," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(4), pages 1-32, December.
    8. Weijin Xu & Jian Wu & Mengtan Gao, 2023. "Temporal distribution model and occurrence probability of M ≥ 6.5 earthquakes in North China Seismic Zone," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 119(1), pages 125-141, October.
    9. Shyh-Wei Chen, 2008. "Identifying US turning points revisited: the panel model with the regime switching approach," Applied Economics Letters, Taylor & Francis Journals, vol. 15(11), pages 893-897.
    10. D. Gospodinov & V. Karakostas & E. Papadimitriou, 2015. "Seismicity rate modeling for prospective stochastic forecasting: the case of 2014 Kefalonia, Greece, seismic excitation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 79(2), pages 1039-1058, November.
    11. John R. Freeman & Jude C. Hays & Helmut Stix, 1999. "Democracy and Markets: The Case of Exchange Rates," Working Papers 39, Oesterreichische Nationalbank (Austrian Central Bank).
    12. Chun-Chang Lee & Chih-Min Liang & Hsing-Jung Chou, 2013. "Identifying Taiwan real estate cycle turning points- An application of the multivariate Markov-switching autoregressive Model," Advances in Management and Applied Economics, SCIENPRESS Ltd, vol. 3(2), pages 1-1.
    13. Chan, Kalok & Yang, Jian & Zhou, Yinggang, 2018. "Conditional co-skewness and safe-haven currencies: A regime switching approach," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 58-80.
    14. Fabra, Natalia & Toro, Juan, 2005. "Price wars and collusion in the Spanish electricity market," International Journal of Industrial Organization, Elsevier, vol. 23(3-4), pages 155-181, April.
    15. Erlandsson, Ulf, 2002. "Regime Switches in Swedish Interest Rates," Working Papers 2002:5, Lund University, Department of Economics, revised 04 Mar 2005.
    16. Shan, Guogen, 2013. "More efficient unconditional tests for exchangeable binary data with equal cluster sizes," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 644-649.
    17. Calice, Giovanni & Mio, RongHui & Štěrba, Filip & Vašíček, Bořek, 2015. "Short-term determinants of the idiosyncratic sovereign risk premium: A regime-dependent analysis for European credit default swaps," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 174-189.
    18. Li, Ming-Yuan Leon, 2009. "Could the jump diffusion technique enhance the effectiveness of futures hedging models?," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3076-3088.
    19. Cruz-Rodríguez, Alexis, 2004. "Un análisis del ciclo económico de la República Dominicana bajo cambios de régimen [Analysis of business cycle of the Dominican Republic using Markov Switching model]," MPRA Paper 54352, University Library of Munich, Germany.
    20. Tillmann, Peter, 2007. "Inflation regimes in the US term structure of interest rates," Economic Modelling, Elsevier, vol. 24(2), pages 203-223, March.

    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:eee:stapro:v:81:y:2011:i:10:p:1541-1546. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.