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Biometrika 1988 75(2):387-391; doi:10.1093/biomet/75.2.387
© 1988 by Biometrika Trust
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MISCELLANEA

Bayesian approach to single variable sampling plans

LAM YEH

Department of Statistics, Chinese University of Hong Kong Shatin, N.T., Hong Kong

In this paper, we develop a model of sampling plans for variables with a polynomial loss function, in which the decision function is either one-sided or two-sided. Based on a Bayesian approach, we suggest a simple finite algorithm for the determination of the optimal single sampling plan. Furthermore, for the case of a symmetric two-sided decision function, we propose an approximate method for determining its optimal single sampling plan.

Key Words: Bayes risk • Decision function • Hermite polynomial • Sampling inspection by variables • Single sampling plan


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