Reliability Test Plan for the Gumbel-Uniform Distribution

Jose K. K. () and Joseph Jeena ()
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Jose K. K.: Department of Statistics and Biostatistics, St. Thomas College, PalaiArunapuram 686574, India
Joseph Jeena: Department of Statistics, St. Thomas’ College, Thrissur, 680001India
Authors registered in the RePEc Author Service: Jose K. Kanichukattu ()

Stochastics and Quality Control, 2018, vol. 33, issue 1, 71-81

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.

Keywords: Reliability Test Plan; Gumbel-X Family; Gumbel-Uniform Distribution; Producer’s Risk; Operating Characteristic Function; T-X Family (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1515/eqc-2017-0011

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