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Some subset selection problems
Authors:Umesh D. Naik
Affiliation:Institute of Finance Management , University of Sheffield , Dar es Salaam, Tanzania
Abstract:Consider that we have a collection of k populations π1, π2…,πk. The quality of the ith population is characterized by a real parameter θi and the population is to be designated as superior or inferior depending on how much the θi differs from θmax = max{θ1, θ2,…,θk}. From the set {π1, π2,…,πk}, we wish to select the subset of superior populations. In this paper we devise rules of selection which have the property that their selected set excludes all the inferior populations with probability at least 1?α, where a is a specified number.
Keywords:selection rules  subset of superior populations  location parameter distributions  scale parameter distributions  normal populations
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