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

• Published in: Quality and reliability engineering international Vol. 36; no. 3; pp. 1086 - 1097
• Main Authors: Abd El‐Monsef, Mohamed Mohamed Ezzat, Hassanein, Wafaa Anwar Abd El‐Latif
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01-04-2020
• Subjects: Ball bearings; censoring; first‐failure progressive; Hypothesis testing; Kumaraswamy; lifetime performance; Maximum likelihood estimators; Performance evaluation; Performance indices
• ISSN: 0748-8017; 1099-1638
• DOI: 10.1002/qre.2616

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 CL 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 CL and the hypothesis testing technique for implementing CL 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.