The Estimation of the Right Censored Exponential Distribution Parameter

In this article, the generalized progressive type II censoring design (right censoring) is introduced. Then the likelihood function for such censored variables is derived and it is precisely determined for the exponential distribution case. The derived maximum likelihood estimator has no closed form, so the estimate is achieved by the numerical "False Position" method. Finally, a suitable confidence interval for the parameter of the exponential distribution is constructed in the form of a theorem.