Lognormal selection with applications to lifetime data

We consider selection problems on k lognormal (μ_i,σ_i²) populations when the σ_i² are unequal, under both known & unknown cases. Selection based on linear functions of μ & σ² are considered. For the unequal & unknown σ_i² 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.