Nonparametric selection procedures for symmetric location parameter populations

Various selection problems based on sample means have been considered by Bechhofer (Ann.Math.Statist(1954), 16-39).Parallel selection procedures based on one-sample Hodges-Lehmann estimators (Ann.Math. Statist.(1963), 598-611) are proposed in this paper.These procedures possess more desirable finite sample properties and equivalent asymptotic properties as compared to rival procedures considered by Lehmann (Math.Ann.(1963), 268-275) and Puri and Puri (Ann.Math.Statist.(1969), 619-632).