Bayesian variable sampling plan for the weibull distribution with type I censoring |
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Authors: | Chen Jianwei Lam Yeh |
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Institution: | (1) Department of Statistics, The Chinese University of Hong Kong, Hong Kong |
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Abstract: | In this article, we study a model of a single variable sampling plan with Type I censoring. Assume that the quality of an
item in a batch is measured by a random variable which follows a Weibull distributionW (λ,m), with scale parameter λ and shape parameterm having a gamma-discrete prior distribution or σ=1/λ andm having an inverse gamma-uniform prior distribution. The decision function is based on the Kaplan-Meier estimator. Then, the
explicit expressions of the Bayes risk are derived. In addition, an algorithm is suggested so that an optimal sampling plan
can be determined approximately after a finite number of searching steps. |
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Keywords: | Single sampling plan the Weibull distribution the Kaplan-Meier estimator the Bayes risk |
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