Analytical Remarks on Canner's Minimax Method for Finding the Better of Two Binomial Populations

A note on selecting the better binominal population

“…This procedure is particularly useful when it is desired to limit the number of failures during the decision making stage. The regret function of the procedure is derived and it is shown that this procedure has a minimax regret property when compared to a fixed sample procedure studied by Pradhan and Sathe [2]. Numerical evidence indicates that this procedure dominates the fixed sample procedure of Pradhan and Sathe over the entire parameter space.…”

“…Observe that for our procedure, the sample size, S, before a decision is reached is a random variable whereas in Pradhan and Sathe [2], the sample size 2n is fixed.…”