Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Change-point Estimation based on Log Scores

  • Kim, Jaehee (Department of Statistics, Duksung Women′s University) ;
  • Seo, Hyunjoo (Department of Statistics, Duksung Women′s University)
  • Published : 2002.04.01
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Abstract

We consider the problem of estimating the change-point in mean change model with one change-point. Gombay and Huskova(1998) derived a class of change-point estimators with the score function of rank. A change-point estimator with the log score function of rank is suggested and is shown to be involved in the class of Gombay and Huskova(1988). The simulation results show that the proposed estimator has smaller rose, larger proportion of matching the true change-point than the other estimators considered in the experiment when the change-point occurs in the middle of the sample.

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References

  1. Annals of Mathematical Statistics v.39 Non-parametric Test Shift at an Unknown Time Point Bhattcharyya, G. K.;Johnson, R. A. https://doi.org/10.1214/aoms/1177698156
  2. Annals of Statistics v.16 Nonparametric Change-point Estimation Carlstein, E. https://doi.org/10.1214/aos/1176350699
  3. Theory of Probability and Its Applications v.21 A Non-parametric Method for the a Posteriori Detection of the "Disorder" Time of a Sequence of Independent Random Variables Darkhovsh, B. S. https://doi.org/10.1137/1121019
  4. Journal of Statistical Planning and Inference v.67 Rank based Estimators of the Change-point Gombay, E.;Huskova, M. https://doi.org/10.1016/S0378-3758(97)00099-2
  5. Communications in Statistics v.15 A Simple Least Squares Method for Estimating a Change in Mean Hawkins, D. L.
  6. Biometrika v.57 Inference about the Change-point in a Sequence of Random Variables Hinkley, D. V. https://doi.org/10.1093/biomet/57.1.1
  7. 한국통계학회논문집 v.4 Change-point Estimators using Rank Average in Location Change Model Kim, Jaehee;Jang Heeyoon
  8. Biometrika v.74 Rank Test for Changepoint Problems Lombard, F https://doi.org/10.1093/biomet/74.3.615
  9. Applied Statistics v.28 A Nonparametric Approach to the Change Problem Pettit, A. N. https://doi.org/10.2307/2346729
  10. Communications in Statistics-Theory and Methods v.11 A Nonparametric Test for Detecting Changes in Location Schechtman, E. https://doi.org/10.1080/03610928208828323