Bayesian minimum sample size designs for the bernoulli selection problem

Optimal and suboptimal Bayesian sequential dsigns for the selection of the better of two Bernoulli populations are described. The objective is to minimise the number of trials on the inferior population in a fixed maximum number of trials. Some numerical results are presented and the performance of the schemes are compared with the simple play the winner rule and with rules due to Bechhofer and Kulkarni.