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On computation of integrals for selection from multivariate normal populations on the basis of distances
Authors:Roy C Milton  M Haseeb Rizvi
Institution:(1) National Eye Institute, National Institutes of Health, 20892 Bethesda, MD, U.S.A.;(2) Sysorex International, Inc., 10590 North Tantau Avenue, 95014 Cupertino, CA, U.S.A.
Abstract:A procedure for selecting the t largest of k multivariate normal populations on the basis of distance is reviewed. Computation of integrals of products of non-central Beta distribution and density functions, required for implementing the procedure, is described. A table of minimum sample sizes needed to guarantee a specified probability of correct selection is given (Table 1).
Keywords:Ranking and selection procedures  multivariate normal  non-central Beta distribution  adaptive Romberg quadrature
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