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Reliability Test Plan for the Gumbel-Uniform Distribution

  • K. K. Jose EMAIL logo and Jeena Joseph
Published/Copyright: January 10, 2018
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Abstract

Reliability sampling plans are used for determining the acceptability of any product. In this paper, reliability sampling plans for acceptance or rejection of a lot of products submitted for inspection are developed when the lifetimes follow the Gumbel-uniform distribution. The sampling plan proposed here can save the test time in practical situations. Some tables are also provided for the new sampling plans so that this method can be used conveniently by practitioners. Operating characteristic values and minimum ratios of the true value and the required value of the parameter with a given producers risk with respect to the newly developed sampling plans are also presented. The new test plan is applied to ordered failure times of software release to illustrate its use in industrial contexts.

MSC 2010: 62N05; 90B25; 60E05

Funding statement: The authors would like to thank the Department of Science and Technology, Government of India, New Delhi for supporting this research under Women Scientist Scheme(WOS-A) vide order No. SR/WOS-A/MS-02/2014(G) dated 28.09.15.

Acknowledgements

The authors are grateful to the reviewers and editor for many valuable comments which helped in improving the paper.

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Received: 2017-5-25
Revised: 2017-12-4
Accepted: 2017-12-20
Published Online: 2018-1-10
Published in Print: 2018-6-1

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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