Applications of a Unified Theory of Monotonicity in Selection Problems.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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In this paper, the general monotonicity results concerning selection problems derived by Berger and Proschan are reviewed. They are then applied to several different formulations of the selection problem. These include comparison with a control and restricted subset selection problems. Several classes of selection rules previously proposed in the literature are shown to possess the monotonicity properties. In addition, a new class of rules for the restricted subset selection formulation is proposed and shown to possess the monotonicity properties.
- Statistics and Probability