Assessing the Lifetime Performance Index with Digital Inferences of Power Hazard Function Distribution Using Progressive Type-II Censoring Scheme.

Comput Intell Neurosci

Department of Mathematics, College of Science, Taif University, P.O. Box 11 099, Taif 21 944, Saudi Arabia.

Published: March 2022

This paper deals with estimating the lifetime performance index. The maximum likelihood (ML) and Bayesian estimators for lifetime performance index where is the lower specification limit are derived based on progressive type-II censored (Prog-Type-II-C) sample from two-parameter power hazard function distribution (PHFD). Knowing the lower specification limit, the MLE of is applied to construct a new hypothesis testing procedure. Bayesian estimator of is also utilized to develop a credible interval. Also, the relationship between the and the conforming rate of products is investigated. Moreover, the Bayesian test to evaluate the lifetime performance of units is proposed. A simulation study and illustrative example based on a real dataset are discussed to evaluate the performance of the two tests.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8865968PMC
http://dx.doi.org/10.1155/2022/6467724DOI Listing

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