TITLE:
A Note Comparing Two Subset Selection Procedures for the Threshold Parameters of Two Exponential Populations
AUTHORS:
Gary C. McDonald, Jezerca Hodaj
KEYWORDS:
Minimum Statistic Selection Procedure, Means Selection Procedure, Probability of Correct and Incorrect Selections, Expected Subset Size
JOURNAL NAME:
Applied Mathematics,
Vol.16 No.12,
December
22,
2025
ABSTRACT: This note builds on two earlier articles by the authors on the topic of subset selection procedures for threshold parameters characterizing two exponential populations. In this special case of two populations, exact computational methods are developed for computing the constants required to implement the selection rules based on the minimum order statistics and on the sample mean statistics. The operating characteristics of these selection rules are then compared for slippage configurations and several choices of sample sizes and the minimum probability of a correct selection. The computer R-code for these calculations is given in the Appendix.