Reliability Acceptance Sampling Plans Based upon Prior Distribution. Volume II. Risk Criteria and Their Interpretation.

摘要

This report deals with the definitions, interpretations and appropriateness of producer's and consumer's risks for the design of reliability acceptance sampling plans based upon prior distribution. The general approach presented here is applicable to any failure density and prior distribution. The specific case when the time to failure has an exponential distribution with parameter theta and theta has an inverted gamma prior distribution has been dealt with in detail. The definitions and the mathematical, physical and graphical interpretations of the various risks are discussed and the risks are evaluated from the viewpoint of their meaningfulness to the producer and the consumer. The similarities and differences between acceptance sampling and demonstration, the implications behind the choice of minimum acceptable MTBF and specified MTBF, the basic interests of the producer and the consumer, and the choice of risks that reflect the primary interests of the producer and the consumer for various situations of practical interest are discussed. (Author)