Robustness of shape parameter for Erlang and Weibull bayesian acceptance sampling plans

This article assesses the robustness of shape parameter for Bayesian acceptance sampling plans assuming Erlang and Weibull distributions. In particular, the prior information on the parameter is combined assuming different loss functions to derive different sampling plans. The cost model for the gro...

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Published inScientia Iranica. Transaction E, Industrial engineering Vol. 32; no. 4; pp. 1 - 13
Main Authors Bibi, Bushra, Ali, Sajid, Shah, Ismail
Format Journal Article
LanguageEnglish
Published Tehran Sharif University of Technology 01.08.2025
Subjects
Bayesian analysis
Binomial distribution
Decision making
Economic models
Parameters
Probability
Probability distribution
Robustness
Sample size
Sampling
Sensitivity analysis
Weibull distribution
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Abstract This article assesses the robustness of shape parameter for Bayesian acceptance sampling plans assuming Erlang and Weibull distributions. In particular, the prior information on the parameter is combined assuming different loss functions to derive different sampling plans. The cost model for the group sampling plans is studied by satisfying the constraints of producer's and consumer's risks for the Weibull sampling. The single sampling plan is compared with the group sampling plan and the results suggest that the group sampling plan performs better than the single sampling in terms of cost. It is noticed that the shape parameters of Erlang and Weibull distributions are not robust as claimed in the literature.
AbstractList This article assesses the robustness of shape parameter for Bayesian acceptance sampling plans assuming Erlang and Weibull distributions. In particular, the prior information on the parameter is combined assuming different loss functions to derive different sampling plans. The cost model for the group sampling plans is studied by satisfying the constraints of producer's and consumer's risks for the Weibull sampling. The single sampling plan is compared with the group sampling plan and the results suggest that the group sampling plan performs better than the single sampling in terms of cost. It is noticed that the shape parameters of Erlang and Weibull distributions are not robust as claimed in the literature.
Author Ali, Sajid
Bibi, Bushra
Shah, Ismail
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Snippet This article assesses the robustness of shape parameter for Bayesian acceptance sampling plans assuming Erlang and Weibull distributions. In particular, the...
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SubjectTerms Bayesian analysis
Binomial distribution
Decision making
Economic models
Parameters
Probability
Probability distribution
Robustness
Sample size
Sampling
Sensitivity analysis
Weibull distribution
Title Robustness of shape parameter for Erlang and Weibull bayesian acceptance sampling plans
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Volume 32
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