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

Document Type : Research Article

Authors

Department of Statistics, Quaid-i-Azam University, Islamabad 45320, Pakistan

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 di erent 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.

Keywords


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Volume 32, Issue 4
Transactions on Industrial Engineering
January and February 2025 Article ID:4914
  • Receive Date: 20 September 2020
  • Revise Date: 19 December 2021
  • Accept Date: 07 February 2022