Bayesian Type I Censored Designs for the Weibull Lifetime Model: Information Based Criterion | ||
| The Egyptian Statistical Journal | ||
| Article 2, Volume 40, Issue 2, December 1996, Pages 127-150 PDF (34.21 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1996.314786 | ||
| Authors | ||
| Adel M. Zaher* 1; Moshira A. Ismail2; Mohamed S. Bahaa2 | ||
| 1Faculty of Economics & Political Science, Cairo University, Egypt | ||
| 2Faculty of Economics & Political Science, Cairo University, Egypt. | ||
| Abstract | ||
| In this paper, Bayesian life test sampling plans are developed for the Weibull distribution with known shape parameter under type I censoring. Specifically, we consider the choice of the truncation time to and the sample size n which maximize the expected gain in information under a certain cost constraint. This measure of information is appropriate when the objective is to gain knowledge about a certain parameter or a future observation. We mainly restrict our attention to deal with information about the scale parameter of the distribution and any-one-to-one transformation of it. The exact evaluation of the expression of information and the corresponding optimal design is obtained numerically. Approximate expressions for the expected gain in information are suggested and used to derive some analytical results for the optimal design. Numerical results are provided to check the accuracy of the approximate results. A related problem where information is required about the minimum lifetime of a future experiment is also discussed. | ||
| Keywords | ||
| Bayesian Analysis; Type I Censoring; Weibull Distribution; Information; Optimal Design; Cost Constraint | ||
|
Statistics Article View: 97 PDF Download: 18 |
||
