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http://dx.doi.org/10.14317/jami.2019.105

A HYPOTHESIS TESTING PROCEDURE OF ASSESSMENT FOR THE LIFETIME PERFORMANCE INDEX UNDER A GENERAL CLASS OF INVERSE EXPONENTIATED DISTRIBUTIONS WITH PROGRESSIVE TYPE I INTERVAL CENSORING  

KAYAL, TANMAY (Department of Mathematics, Indian Institute of Technology Patna)
TRIPATHI, YOGESH MANI (Department of Mathematics, Indian Institute of Technology Patna)
WU, SHU-FEI (Department of Statistics, Tamkang University)
Publication Information
Journal of applied mathematics & informatics / v.37, no.1_2, 2019 , pp. 105-121 More about this Journal
Abstract
One of the main objective of manufacturing industries is to assess the capability performance of different processes. In this paper, we use the lifetime performance index $C_L$ as a criterion to measure larger-the-better type quality characteristic for evaluating the product performance. The lifetimes of products are assumed to follow a general class of inverted exponentiated distributions. We use maximum likelihood estimator to estimate the lifetime performance index under the assumption that data are progressive type I interval censored. We also obtain asymptotic distribution of this estimator. Based on this estimator, a new hypothesis testing procedure is developed with respect to a given lower specification limit. Finally, two numerical examples are discussed in support of the proposed testing procedure.
Keywords
Progressive type I interval censoring; Inverse exponentiated distributions; Maximum likelihood estimator; Process capability index;
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