Andishe_ye Amari

Andishe_ye Amari

Hypothesis test and exact confidence interval for the mean of the exponential distribution under progressive hybrid censoring of the first type

Document Type : Original Article

Authors
1 PhD student in Statistics, Yazd University
2 Faculty member, Statistics Department, Yazd University
Abstract
Censored samples are encountered in life-cycle testing experiments; that is, when the experimenter does not observe the failure times of all units in the life-cycle test. In recent years, inference based on censored samples has received much attention, so that inference has been made about the parameters of various distributions such as normal, exponential, gamma, Rayleigh, Weibull, lognormal, inverse Gaussian, logistic, Laplace, and Pareto based on censored samples.
In this paper, a method is proposed to perform hypothesis testing and find an accurate confidence interval for the mean of the exponential distribution under progressive hybrid censoring of the first type. Then, the performance of the proposed confidence interval is evaluated using simulation. Finally, the proposed methods are implemented on a set of real data.
Keywords

Volume 21, Issue 1
September 2016
Pages 81-87

  • Receive Date 13 May 2025
  • First Publish Date 13 May 2025
  • Publish Date 22 August 2016