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An ANOVA-type test for multiple change points

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  • Noriah Al-Kandari
  • Emad-Eldin Aly

Abstract

We consider the problem of testing the null hypothesis of no change against the alternative of multiple change points in a series of independent observations. We propose an ANOVA-type test statistic and obtain its asymptotic null distribution. We also give approximations of its limiting critical values. We report the results of Monte Carlo studies conducted to compare the power of the proposed test against a number of its competitors. As illustrations we analyzed three real data sets. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Noriah Al-Kandari & Emad-Eldin Aly, 2014. "An ANOVA-type test for multiple change points," Statistical Papers, Springer, vol. 55(4), pages 1159-1178, November.
    • Handle: RePEc:spr:stpapr:v:55:y:2014:i:4:p:1159-1178
    DOI: 10.1007/s00362-013-0559-1
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    References listed on IDEAS

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    1. Gabriela Ciuperca, 2011. "Penalized least absolute deviations estimation for nonlinear model with change-points," Statistical Papers, Springer, vol. 52(2), pages 371-390, May.
    2. Terence Chong, 2001. "Estimating the locations and number of change points by the sample-splitting method," Statistical Papers, Springer, vol. 42(1), pages 53-79, January.
    3. Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
    4. Andreou, Elena & Ghysels, Eric, 2006. "Monitoring disruptions in financial markets," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 77-124.
    5. Zeileis, Achim & Kleiber, Christian & Kramer, Walter & Hornik, Kurt, 2003. "Testing and dating of structural changes in practice," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 109-123, October.
    6. Aly, Emad-Eldin A. A. & BuHamra, Sana S., 1996. "Rank tests for two change points," Computational Statistics & Data Analysis, Elsevier, vol. 22(4), pages 363-372, August.
    7. Cheon, Sooyoung & Kim, Jaehee, 2010. "Multiple change-point detection of multivariate mean vectors with the Bayesian approach," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 406-415, February.
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