Estimation of the parameters of the Gompertz distribution under the first failure-censored sampling plan

Abstract

In this paper, we provide a method for constructing an exact confidence interval and an exact joint confidence region for the parameters of the Gompertz distribution under the first failure-censored sampling plan [1]. Moreover, when compared to ordinary sampling plans, the sampling plan of Balasooriya [1] has an advantage in terms of shorten test-time and a saving of resources. Finally, we give an example to illustrate our proposed method. Results from simulation studies assessing the performance of our proposed method are included.

Keywords:

• First failure-censored
• Gompertz distribution
• Joint confidence region

This research was partially supported by the National Science Council, R.O.C. (Plan No. NSC 88-2118-M-032-005). We thank a referee for his helpful comments which improved the presentation of the paper.