Some subset selection problems |
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Authors: | Umesh D. Naik |
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Affiliation: | Institute of Finance Management , University of Sheffield , Dar es Salaam, Tanzania |
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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. |
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Keywords: | selection rules subset of superior populations location parameter distributions scale parameter distributions normal populations |
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