Statistical inference for generalized Pareto distribution based on progressive Type-II censored data with random removals

  • Authors

    • Reza Azimi
    • Bahman Fasihi
    • Faramarz Azimi Sarikhanbaglu
    2014-02-16
    https://doi.org/10.14419/ijsw.v2i1.1780
  • In this article, We consider the estimation problems of the parameter and reliability function of the generalized Pareto distribution based on a progressively type-II censored sample with random (Binomial) removals. we use the method of maximum likelihood and Bayesian estimation to estimate parameter and reliability function. Bayesian estimates are derived under squared error and LINEX loss functions. we also construct the confidence interval for the parameter of generalized Pareto distribution based on a progressively type-II censored sample with random removals. The comparisons between different estimators are made based on simulation study.

     

    Keywords: Generalized Pareto distribution, progressive Type-II censored, random removals, Bayesian estimates, reliability function.

  • References

    1. N. Balakrishnan, R. Aggarwala, Progressive Censoring: Theory, Methods, and Applications, Boston, MA: Birkhauser, 2000.
    2. H.K. Yuen, S.K. Tse, "Parameters estimation for Weibull distributed lifetimes under progressive censoring with random removals" Journal of Statistical Computation and Simulation, 55, 1, (1996), 57-71.
    3. H.A. Zeinab, "Bayesian inference for the pareto lifetime model under progressive censoring with binomial removals", Journal of Applied Statistics, 35, 11, (2008), 1203-1217.
    4. S.J. Wu, C.T. Chang, "Inference in the Pareto distribution based on progressive censoring with random removals", Journal of Applied Statistics, 30, 2, (2003), 163-172.
    5. S.K. Tse and H.K. Yuen, "Expected Experiment Times for the Weibull Distribution under Progressive Censoring with Random Removals", Journal of Applied Statistics, 25, 1, (1998), 75-83.
    6. S.D. Grimshaw, "Computing maximum likelihood estimates for the generalized Pareto distribution",Technometrics 35,(1993), 185-191.
    7. E. Castillo, A.S. Hadi, "Fitting the generalized Pareto distribution to data"' Journal of the American Statistical Association,92, (1997), 1609-1620.
    8. E. Castillo, A.S. Hadi,N. Balakrishnan,J.M. Sarabia, "Extreme Value and Related Models with Applications in Engineering and Science", Wiley, NewYork, 2005.
    9. C.C. Wu, S.F. Wu, H.Y. Chan, "MLE and the estimated expected test time for Pareto distribution under progressive censoring data", International Journal of Information and Management Sciences, 15, 3, (2004), 29-42.
    10. S.K. Tse,C. Yang,H. K. Yuen, "Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals", Journal of Applied Statistics, 27, 8, (2000), 1033-1043.
    11. S.J. Wu, "Estimation for the two-parameter Pareto distribution under progressive censoring with uniform removals", Journal of Statistical Computation and Simulation, 73 (2003), 125134.
    12. W. Shuo-Jye and C. Chun-Tao, "`Inference in the Pareto Distribution Based on Progressive Type II Censoring with Random Removals",Journal of Applied Statistics, 30, 2, (2003), 163-172.
    13. A. Basu, N. Ebrahimi, "Bayesian approach to life testing and reliability estimation using asymmetric loss function", Journal of Statistical Planning and Inference 29, (1991), 21-31.
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  • How to Cite

    Azimi, R., Fasihi, B., & Azimi Sarikhanbaglu, F. (2014). Statistical inference for generalized Pareto distribution based on progressive Type-II censored data with random removals. International Journal of Scientific World, 2(1), 1-9. https://doi.org/10.14419/ijsw.v2i1.1780