Exact likelihood inference of the exponential parameter under generalized Type II progressive hybrid censoring

Type II progressive hybrid censoring schemes (PHCS) have become quite popular in reliability and lifetime-testing studies. However, the drawback of the Type II PHCS is that it might take a very long time in order to complete the life test. In this article, we propose generalized Type II PHCS which provide a guarantee of the time to complete the life test. Also, we consider both exact and approximate inferential procedures based on generalized Type II PHCS when the lifetime distribution of the test items follows an independent and identically distributed (iid) exponential distribution. Given by the exact conditional first moment, bias adjusted MLE is proposed and its distribution is discussed. The results of simulation studies and real data analysis were conducted to evaluate the performance of the proposed method.