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Alam Applying Theorem 1.2.3 asymptotic distribution Bell Telephone Laboratories best population Chapter coeffi coefficient is widely conditions hold CORNELL UNIVERSITY LIBRARY correct selection different indifference zones entire parameter space evaluation exact distribution expected number expressed using 4.2 fi(p hn(x independent observations independent p-variate normal indifference zone approach inequality inf AP CS|R(n infima infimum equal K-dimensional infimum largest multiple correlation lation less than A[K Mathematical maximum size M(M minimum allowable separation multiple correlation coefficient Multivariate Normal Populations non-decreasing normal distribution number of populations number of selected one-dimensional infimum p-variate normal populations popu preassigned probability value probability requirement procedure for selecting procedure R(n random variable ranking and selection restricted subset selection Rizvi and Solomon sample multiple correlation sample size Santner selected populations selecting the largest Selection and Ranking selection rule selects a subset squared multiple correlation subset selection approach subset selection procedure supremum Theorem 3.2 thesis unknown multiple correlation