Article: Bayes and minimax sample-admissible multivariate selection procedures.

Bayes and Minimax Sample-Admissible Multivariate Selection Procedures

MARC J. SOBEL(*)

Let P be a class of independent populations each having an underlying multivariate normal distribution with unknown mean vector. Independent vector samples of common size n are drawn from each population in P. We say that a subset G of P is [delta.sup.*]-Pareto-optimal (in P) if no other population in P has the property that each component of its mean vector is larger by at least [delta.sup.*] [is greater than or equal to] 0 than the corresponding component of the mean vector of any given population in G. This article treats the problem of devising and evaluating strategies ...

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