SELECTING "DEMONSTRABLY BEST" OR "DEMONSTRABLY WORST" EXPONENTIAL POPULATIONS |
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Authors: | Eve Bofinger |
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Institution: | Dept. Mathematics, Statistics and Computing Science, The University of New England, Armidale, NSW 2351. |
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Abstract: | Consider k independent observations Yi (i= 1,., k) from two-parameter exponential populations i with location parameters μ and the same scale parameter If the μi are ranked as consider population as the “worst” population and IIp(k) as the “best” population (with some tagging so that p{) and p(k) are well defined in the case of equalities). If the Yi are ranked as we consider the procedure, “Select provided YR(k) Yr(k) is sufficiently large so that is demonstrably better than the other populations.” A similar procedure is studied for selecting the “demonstrably worst” population. |
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Keywords: | Exponential populations preliminary test selection |
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