On Bayesian estimation from two parameter Bathtub-Shaped lifetime distribution based on progressive first-failure-censored sampling

  • Authors

    • Nooshin Javadkhani
    • Parvin Azhdari Assiatant professor at Islamic Azad University
    • Reza Azimi
    2014-05-28
    https://doi.org/10.14419/ijsw.v2i1.2513

  • Abstract

    This paper presents different methods of Bayesian estimation like empirical Baysian estimation, Expectation of Bayesian estimation to estimate parameter and reliability function of two parameter bathtub-shaped lifetime distribution based on progressively firrst-failure-censored samples under minimum expected and LINEX loss functions. Comparisons among estimators are investigated through simulation study.

    Keywords: Progressive rst-failure-censoring scheme, Empirical Bayesian Estimation, E-Bayesian Estimation, Bathtub-Shaped lifetime distribution .

  • References

    1. Wu S. J. and Kus C., 2009 , "On Estimation Based on Progressive First-Failure-Censored Sampling," Computational Statistics and Data Analysis, Vol. 53, No. 10, pp. 3659-3670.
    2. Wu S.J., Huang S. R. , 2012 , "Progressively first-failure censored reliability sampling plans with cost constraint," Computational Statistics & Data Analysis, Vol. 56, Issue 6, pp. 2018-2030.
    3. Balakrishnan N., Sandhu R. A. , 1995, "A simple simulation algorithm for generating progressively type-II censored samples," The American Statistician 49, 229-230.
    4. Rao Tummala V. M. and Sathe P. T. , 1978, "Minimum expected loss estimators of reliability and parameters of certain lifetime distributions," IEEE Transactions on Reliability, vol. 27, no. 4, pp. 283–285.
    5. Lee W. C., Wu J. W. and Yu H. Y. , 2007, "Statistical inference about the shape parameter of the bathtub-shaped distribution under the failure-censored sampling plan," International Journal of Information and Management Sciences 18, 157-172.
    6. Wu J. W., Lu H. L., Chen C. H. and Wu C. H. , 2004, "Statistical inference about the shape parameter of the new two-parameter bathtub-shaped lifetime distribution," Quality & Reliability Engineering International, 20, pp. 607-616.
    7. Carlin B. P., Louis T. A. 2000, Bayes and Empirical Bayes Methods for Data Analysis, 2nd ed., Chapman & Hall/CRC.
    8. Han M. , 1997, "The structure of hierarchical prior distribution and its applications," Chinese Operation Research and Man- agement Science 6, 3, 3, pp. 1-40.
    9. Han, M. , 2009 , E-Bayesian estimation and hierarchical Bayesian estimation of failure rate, Applied Mathematical Modelling 33, 1915-1922.
    10. Jaheen Z. F., Okasha H. M., , 2011 "E-Bayesian estimation for the Burr type XII model based on type-2 censoring," Applied Mathematical Modelling 35, 4730-4737.
    11. Chen Z. A. , 2000, "New two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, 49, pp. 155–161.
    12. Zellner A. , 1986 , "Bayes estimation and prediction using asymmetric loss functions," Journal of the American Statistical Association, 81, pp. 446-451.
    13. Rastogi M. K., Tripathi Y. M. and Wu S. J. , 2012, "Estimating the parameters of a bathtub-shaped distribution under progressive type-II censoring," Journal of Applied Statistics, vol. 39, issue 11, pp. 2389-2411.
    14. Sarhan A. M., Hamilton D. C. and Smith B. , 2012, "Parameter estimation for a two-parameter bathtub-shaped lifetime distribution," Applied Mathematical Modelling, Vol. 36, Issue 11 , Pp. 5380-5392.
    15. Selim M. A. , 2012, "Bayesian Estimations from the Two-Parameter Bathtub- Shaped Lifetime Distribution Based on Record Values," Pakistan Journal of Statistics and Operation Research, Vol. VIII, No.2, pp. 155-165.

  • Downloads

  • How to Cite

    Javadkhani, N., Azhdari, P., & Azimi, R. (2014). On Bayesian estimation from two parameter Bathtub-Shaped lifetime distribution based on progressive first-failure-censored sampling. International Journal of Scientific World, 2(1), 31-41. https://doi.org/10.14419/ijsw.v2i1.2513

    Received date: 2014-04-21

    Accepted date: 2014-05-17

    Published date: 2014-05-28