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Reliability Test Plan for Gumbel – Pareto Life Time Model

Jeena Joseph, K. K. Jose


Here, we consider Gumbel - X family and obtained the reliability measure for a stress – strength model. A reliability test plan is also developed for acceptance/rejection of a lot of products submitted for inspection with lifetimes generated by Gumbel- Pareto model. Tables giving reliability measures, acceptance sampling numbers using binomial and Poisson approximations, operating characteristic (OC) function values, minimum ratio of true θ and required  for the acceptability of a lot with producer’s risk of 0.05 are prepared. The results are illustrated with respect to a real life data set on ordered failure times of a software.


Gumbel - Pareto Distribution; Operating Characteristic Function; Reliability Test Plan; Software Reliability; Stress - Strength Analysis.

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