3 TYPES OF PRODUCERS AND CONSUMERS RISKS IN THE SINGLE SAMPLING PLAN

The classical producer's risk and the classical consumer's risk are de fined in acceptance sampling based on the assumption that the proporti on defective of incoming lots is a constant. This assumption has been a focus of much of the criticism of acceptance sampling in recent year s. In this paper, we assume that the proportion defective is a random variable that follows a beta distribution, and we derive the modified producer's risk and the modified consumer's risk. We also derive the B ayes producer's risk and the Bayes consumer's risk. In addition, we cl arify the relationships of the modified and Bayes risks with the class ical risks.