Assessing the lifetime performance index for Kumaraswamy distribution under first‐failure progressive censoring scheme for ball bearing revolutions

First‐failure progressive censoring schemes have potential usefulness in practice where budget constraints in place or there is a necessary for speedy test. To test the process capability, the lifetime performance index C L is widely recommended for evaluating the performance of the products lifetime. This paper is devoted to construct the maximum likelihood estimator of the lifetime performance index C L and the hypothesis testing technique for implementing C L under first‐failure progressive censoring sample from Kumaraswamy population. Finally, to illustrate the potentiality of the proposed procedure, two real engineering applications and a simulated example are given.