Restricted subset selection for normal populations with unknown and unequal variances

  • Authors:
  • David W. Sullivan;James R. Wilson

  • Affiliations:
  • -;-

  • Venue:
  • WSC '84 Proceedings of the 16th conference on Winter simulation
  • Year:
  • 1984

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Abstract

This paper develops two extensions of the Gupta-Santner restricted subset selection procedure. The (exact) procedure RE screens a set of k normal populations with unknown and unequal variances using independent random sampling within each alternative population in order to select a final subset of at most m alternatives; in the least favorable configuration of population means, there is the minimal probability P* that the selected subset includes the population with the largest mean. The simulation-oriented (heuristic) procedure RS similarly screens a set of k covariance stationary normal processes with unknown and nonidentical covariance structures such that the (correlated) sampling within each alternative process is carried out independently. A rigorous development is given for procedure RE together with appropriate tables of constants required to apply the rule. The experimental performance of procedure RS is summarized for a wide variety of stationary autoregressive-moving average processes.