We consider selection problems on k lognormal (μi, σi2) populations when the σi2 are unequal, under both known & unknown cases. Selection based on linear functions of μ & σ2 are considered. For the unequal & unknown σi2 case, a two-stage Rinott-type asymptotic procedure is proposed. In consideration to reliability & survival analysis applications, an asymptotic procedure is also proposed for the parametric selection based on the α-quantiles. Simulation studies to evaluate the procedures & to compare the latter procedure to the nonparametric procedure based on the α-quantiles are presented. The procedures are demonstrated using examples from reliability & quality control.
- Lifetime data
- Rinott's procedure
- Selection of the best
ASJC Scopus subject areas
- Safety, Risk, Reliability and Quality
- Electrical and Electronic Engineering