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On computation of integrals for selection from multivariate normal populations on the basis of distances

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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).

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Authors and Affiliations

  1. National Eye Institute, National Institutes of Health, 20892, Bethesda, MD, U.S.A.

    Roy C. Milton

  2. Sysorex International, Inc., 10590 North Tantau Avenue, 95014, Cupertino, CA, U.S.A.

    M. Haseeb Rizvi

Authors
  1. Roy C. Milton
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  2. M. Haseeb Rizvi
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Milton, R.C., Rizvi, M.H. On computation of integrals for selection from multivariate normal populations on the basis of distances. Ann Inst Stat Math 41, 401–408 (1989). https://doi.org/10.1007/BF00049404

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  • DOI: https://doi.org/10.1007/BF00049404

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