Answers are grounded in this paper and cite their sources.
The problem of estimating Y (1), the smallest of a future sample of k observations from the Weibull distribution, based on an observed sample from the same distribution, is considered. A conditional confidence interval solution is proposed for the estimation of Y (1). The results have direct application in reliability theory, where the time until the first failure in a group of k items in service provides a measure of assurance regarding the operation of the items.
No takes yet. Share an insight, caveat, or question.
Jerald F. Lawless (1973) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: