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On a Generalization of the Weibull Distribution and Its Application in Quality Control

  • K. K. Jose EMAIL logo , Lishamol Tomy and Sophia P. Thomas
Published/Copyright: October 21, 2018
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Abstract

In this article, a generalization of the Weibull distribution called Harris extended Weibull distribution is studied, and its properties are discussed. We fit the distribution to a real-life data set to show the applicability of this distribution in reliability modeling. Also, we derive a reliability test plan for acceptance or rejection of a lot of products submitted for inspection with lifetimes following this distribution. The operating characteristic functions of the sampling plans are obtained. The producer’s risk, minimum sample sizes and associated characteristics are computed and presented in tables. The results are illustrated using two data sets on ordered failure times of products as well as failure times of ball bearings.

MSC 2010: 62N05; 90B25; 60E05

Acknowledgements

The authors are grateful to the reviewers and editor for the valuable suggestions, which helped in improving the presentation of the paper.

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Received: 2018-05-03
Revised: 2018-09-20
Accepted: 2018-09-21
Published Online: 2018-10-21
Published in Print: 2018-12-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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