A fixed sample size selection procedure for negative binomial populations |
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Authors: | Madhuri S Mulekar Linda J Young |
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Institution: | (1) Dept. of Mathematics & Statistics, Faculty Court South #3, University of South Alabama, 36688, (205) 460-6264 Mobile, AL, USA;(2) Department of Biometry, University of Nebraska, 103 Miller Hall, 68583, (405) 744-5684 Lincoln, NE, USA |
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Abstract: | Summary A fixed sample size procedure for selecting the ‘best’ ofk negative binomial populations is developed. Selection is made in such a way that the probability of correct selection is
at leastP* whenever the distance between the probabilities of success is at leastδ*. The exponentr is assumed to be known and the same for all populations. Extensive computer calculations* were employed to obtain the exact
least favorable configuration. The smallest sample sizes needed to meet specifications (P*,δ*) are tabulated forr=1 (1)5;δ*=0.05 (0.05) 0.55 andP*=0.75, 0.80, 0.90, 0.95, 0.98, 0.99 involvingk=3 (1) 6, 8, 10 populations.
All the computations were carried out on the Alabama Supercomputer. Part of this work was completed when the authors were
at the Department of Statistics, Oklahoma State University, Stillwater, OK 74078. |
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Keywords: | Fixed sample selection procedure Negative binomial populations Indifference zone approach Least favorable configuration |
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