Sample Size for Selecting the Better of Two Weibull Populations

Alfred W. Rademaker; Charles E. Antle

doi:10.1109/TR.1975.5215317

Sample Size for Selecting the Better of Two Weibull Populations

Alfred W. Rademaker, Charles E. Antle

Preventive Medicine

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English (US)
Pages (from-to)	17-20
Number of pages	4
Journal	IEEE Transactions on Reliability
Volume	R-24
Issue number	1
DOIs	https://doi.org/10.1109/TR.1975.5215317
State	Published - Apr 1975

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Electrical and Electronic Engineering

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10.1109/TR.1975.5215317

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Sample Size for Selecting the Better of Two Weibull Populations

Abstract

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