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Abstract <p>This paper studies the problem of designing a Bayesian sampling plan with cost constraint for censored data. The Bayesian sampling plan (BSP) for Weibull lifetime distributions with the known shape parameter in a general loss function is derived. A new Bayesian sampling plan is proposed under the sampling cost constraint, denoted by BSPC. Then an explicit expression of the Bayes decision function of BSPC under the quadratic loss function is obtained. An illustrative example is given to demonstrate how to find the Bayes decision function of BSPC. Comparisons among some existing BSPs and the proposed BSPC are given. A Monte Carlo simulation is carried out. The numerical results indicate that the proposed BSPC is quite efficient in sampling cost constraint for certain selected parameter values.</p>

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Designing Bayesian Sampling Plans Based on Cost Constraint for Exponential and Weibull Lifetime Distributions with Type-I Hybrid Censoring

  • 期刊论文

  • 发表日期：

    2025年9月25日

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  • Che-Yang Lin,
  • Lee-Shen Chen,
  • Ming-Chung Yang

摘要

Abstract

This paper studies the problem of designing a Bayesian sampling plan with cost constraint for censored data. The Bayesian sampling plan (BSP) for Weibull lifetime distributions with the known shape parameter in a general loss function is derived. A new Bayesian sampling plan is proposed under the sampling cost constraint, denoted by BSPC. Then an explicit expression of the Bayes decision function of BSPC under the quadratic loss function is obtained. An illustrative example is given to demonstrate how to find the Bayes decision function of BSPC. Comparisons among some existing BSPs and the proposed BSPC are given. A Monte Carlo simulation is carried out. The numerical results indicate that the proposed BSPC is quite efficient in sampling cost constraint for certain selected parameter values.