Suppose an experimenter wishes to select the better of two Weibull populations. In a life testing situation he may have some time r* for which the device must perform properly and he would consider the better population to be the one with the larger reliability at time t*. It is reasonable for the experimenter to test n items from each of the two populations until there are r(r n) failures from each and then select as better the population for which the maximum likelihood estimate of the reliability at time t* is the larger. This paper presents the sample sizes needed to achieve a desired level for the probability of correct selection with such a decision rule. Reader Aids: Purpose: Report of a derivation Special math needed for explanations: Statistics Special math needed for results: Same Results useful to: Statisticians, theoretically inclined reliability engineers.
ASJC Scopus subject areas
- Safety, Risk, Reliability and Quality
- Electrical and Electronic Engineering