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Change-point estimation for censored regression model

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Abstract

In this paper, we consider the change-point estimation in the censored regression model assuming that there exists one change point. A nonparametric estimate of the change-point is proposed and is shown to be strongly consistent. Furthermore, its convergence rate is also obtained.

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References

  1. Powell J L. Least absolute devations estimation for the censored regression model. Journal of Econometrics, 25: 303–325 (1984)

    Article  MathSciNet  Google Scholar 

  2. Pollard D. Empirical process: theory and application. NSF-CBMS Regional Conference Series in Probability and Statistics, Vol 2. Hayward: Institute of Mathematical Statistics, 1990

    Google Scholar 

  3. Chen X R, Wu Y. Consistency of L 1 estimates in censored linear regression models. Commu Statist Theor Meth, 23(7): 1847–1858 (1993)

    MathSciNet  Google Scholar 

  4. Rao C R, Zhao L C. Asymptotic normality of LAD estimator in censored regression models. Mathematical Methods of Statistics, 2: 228–239 (1993)

    MathSciNet  Google Scholar 

  5. Zhao L C, Fang Y X. Random weighting method for censored regression model. Journal of Systems Science and Complexity, 17(2): 262–270 (2004)

    MathSciNet  Google Scholar 

  6. Fang Y X, Jin M, Zhao L C. Strong convergance of LAD estimates in a censored regression model. Science in China Ser A, 48(2): 155–168 (2005)

    Article  MathSciNet  Google Scholar 

  7. Bhattacharya P K, Frierson F J. A nonparametric control chart for detecting small disorders. Ann Statist, 9: 544–554 (1981)

    MathSciNet  Google Scholar 

  8. Deshayes J, Picard D. Off-line statistical ananlysis of change point models using nonparametric and likelihood methods. Lect Notes in Control and Inf Sciences, 77: 103–168 (1986)

    Google Scholar 

  9. Miao B Q, Zhao L C. Detection of change points using rank methods. Tech Report Pittsburgh: Center for Multi Anal Univ of Pittsburgh, 1987

    Google Scholar 

  10. Kokoszka P, Leipus R. Change-point in the mean of dependent observations. Statist and Probabity Letters, 40: 385–393 (1998)

    Article  MathSciNet  Google Scholar 

  11. Wang J L, Bhatti M I. Three test for a change-point in variance of normal distribution. Chinese J of Appl Probab and Statist, 14(2): 113–121 (1998)

    MathSciNet  Google Scholar 

  12. Petrov V V. Sums of Independent Random Variables. Berlin: Springer-Verlag, 1975

    Google Scholar 

  13. Bennett G. Probability inequalities for the sum of independent random variables. J Amer Statistics Assoc, 57: 33–45 (1962)

    Article  Google Scholar 

Download references

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Correspondence to Yao-hua Wu.

Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471136), Ph.D. Program Foundation of the Ministry of Education of China, and Special Foundations of the Chinese Academy of Science and USTC.

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Wang, Zf., Wu, Yh. & Zhao, Lc. Change-point estimation for censored regression model. SCI CHINA SER A 50, 63–72 (2007). https://doi.org/10.1007/s11425-007-2039-3

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  • DOI: https://doi.org/10.1007/s11425-007-2039-3

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