Bound lengths based on constant-stress PALT under different censoring patterns

  • Authors

    • Gyan Prakash Assistant Professor
    • Prabhakar Singh Assistant Professor
    2017-12-26
    https://doi.org/10.14419/ijsw.v6i1.8662
  • Constant-Stress Partially Accelerated Life Test (CS-PALT), First-Failure Progressive (FFP) Censoring Pattern, Approximate Confidence Lengths (ACL), Bootstrap Confidence Length (BCL), Bayes Prediction Bound Lengths (BPBL).
  • The Gompertz distribution is assumed in the present article for drawing the inferences based on Bayesian methodology. Constant-Stress Partially Accelerated Life Test (CS-PALT) have used for the underlying distribution on first-failure Progressive (FFP) censoring scheme. All special cases of the FFP censoring scheme have used for the present comparative analysis. The comparison has been done between different special cases of FFP based on Approximate Confidence Lengths (ACL) under Normal approximation, Bootstrap Confidence Length (BCL) and One-Sample Bayes Prediction Bound Lengths (BPBL). A simulation study have been carried out for the present analysis.  

  • References

    1. [1] Ahmadia, J., Mir-Mostafaee, S. M. T. K. & Balakrishnan, N. (2011). Bayesian prediction of k-record values based on progressively censored data from exponential distribution. Journal of Statistical Computation & Simulation, (2011), 1-12.

      [2] Azimi, R., Yaghmaei, F. & Azimi, D. (2012). Comparison of Bayesian estimation methods for Rayleigh Progressive censored data under the different asymmetric loss function. International Journal of Applied Mathematical Research, 1 (4), 452-461.

      [3] Balakrishnan, N. & Aggarwala, R. (2000). Progressive Censoring: Theory, Methods and Applications, Birkhauser Publishers, Boston.

      [4] Balakrishnan, N. & Sandhu, R. A. (1995). A simple simulation algorithm for generating Progressively Type-II censored samples. American Statistics, 49, 229 - 230.

      [5] Johnson, L. G. (1964). Theory and Technique of Variation Research. Elsevier, Amsterdam, Netherlands.

      [6] Kreiss, J. P., & Paparoditis, E. (2011). Bootstrap methods for dependent data: a review. Journal of Korean Statistical Society, 40, 357-378.

      [7] Meeker, W. Q., & Escobar, L. A. (1998). Statistical methods for reliability data. John Wiley and Sons, New York.

      [8] Prakash, G. (2015). A comparative study based on Bayes estimation under different censoring criterion. Journal of Data Science, 13 (2), 261-280.

      [9] Prakash, G. (2016). Some inference on progressive censored Gompertz data under random scheme. International Journal of Scientific Research, 6 (4), 290-299.

      [10] Prakash, G. (2017). First Failure Progressive Censored Weibull Data Under Bayesian Analysis. Statistics Research Letters, 6, 1-8.

      [11] Prakash, G. & Singh, D. C. (2013). Bayes prediction intervals for the Pareto model. Journal of Probability and Statistical Science, 11 (1), 109-122.

      [12] Soliman, A. A., Abd-Ellah, A. H., Ahmed, E. A. & Farghal, A. A. (2015). Bayesian Estimation from Exponentiated Frechet Model using MCMC Approach based on Progressive Type-II Censoring Data. Journal of Statistics Application and Probability, 4 (3), 387-403.

      [13] Wu, S. J. & Kus, C. (2009). On estimation based on progressive first-failure censored sampling. Computational Statistics & Data Analysis, 53, 3659-3670.

  • Downloads

  • How to Cite

    Prakash, G., & Singh, P. (2017). Bound lengths based on constant-stress PALT under different censoring patterns. International Journal of Scientific World, 6(1), 19-26. https://doi.org/10.14419/ijsw.v6i1.8662