On Multiple Decision (Subset Selection) Procedures
PURDUE UNIV LAFAYETTE IN DEPT OF STATISTICS
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The report is a survey of developments and significant results in the area of multiple decision procedures under the subset selection formulation. Section 2 deals with procedures for location and scale parameters. A general theory of the subset selection problem and a decision-theoretic formulation are discussed in Section 3. Sections 4 through 7 deal with parametric and non- parametric procedures for discrete populations, multinomial cells and multivariate normal populations using single-stage sampling, inverse sampling and sequential sampling. Section 8 describes procedures applicable to restricted families of distributions such as the increasing failure rate IFR and increasing failure rate on the average IFRA distributions. Bayes and empirical Bayes procedures are discussed in Section 9. The last section summarizes briefly several modifications of the basic problem and goal.
- Statistics and Probability