Optimum Reliability Acceptance Sampling Plan for Burr Type-XII Distribution under Generalized Hybrid Censoring Scheme
DOI:
https://doi.org/10.17713/ajs.v55i1.2015Abstract
This manuscript focuses on reliability acceptance sampling plans applied to the Burr type-XII distribution within the framework of the generalized hybrid censoring scheme. This study involves determining the sample size (n) and acceptance constant (k1) for given values of producer's and consumer's risks, utilizing the asymptotic normality theory of maximum likelihood estimators for model parameters. Additionally, a Monte-Carlo simulation study is conducted to assess whether the reliability acceptance sampling plans adhere to specified risk levels for finite sample sizes. Optimum reliability acceptance sampling plans are obtained by employing a variance minimization criterion under cost constraints. We have provided the algorithm for the computation of sample size (n) and acceptance constant (k1). Furthermore, the algorithms for computing the optimum reliability acceptance sampling plans under generalized hybrid type-I censoring scheme and generalized hybrid type-II censoring scheme are also provided.
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Copyright (c) 2026 Shubham Singh, Arun Kaushik
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