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SELECTING “DEMONSTRABLY BEST” OR “DEMONSTRABLY WORST” EXPONENTIAL POPULATIONS
Author(s) -
Bofinger Eve
Publication year - 1991
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1991.tb00426.x
Subject(s) - exponential function , population , statistics , mathematics , scale (ratio) , combinatorics , demography , geography , mathematical analysis , cartography , sociology
Summary Consider k independent observations Y i ( i = 1,., k ) from two‐parameter exponential populations i with location parameters μ and the same scale parameter If the μ i are ranked as consider population as the “worst” population and II p(k) as the “best” population (with some tagging so that p{) and p(k) are well defined in the case of equalities). If the Y i are ranked as we consider the procedure, “Select provided Y R(k) Y r(k) is sufficiently large so that is demonstrably better than the other populations.” A similar procedure is studied for selecting the “demonstrably worst” population.