Selection from Logistic populations

P. van der Laan

Statistica Neerlandica, 1989, vol. 43, issue 3, 169-174

Abstract: Assume k(k≥ 2) independent populations π1, π2μk are given. The associated independent random variables Xi,(i= 1,2,…k) are Logistically distributed with unknown means μ1, μ2, μk and equal variances. The goal is to select that population which has the largest mean. The procedure is to select that population which yielded the maximal sample value. Let μ(1)≤μ(2)≤…≤μ(k) denote the ordered means. The probability of correct selection has been determined for the Least Favourable Configuration μ(1)=μ(2)==μ(k – 1)=μ(k)–δ where δ > 0. An exact formula for the probability of correct selection is given.

Date: 1989
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