We prove the validity of a lower bound for the probability of correct subset selection for choosing the best b=2 binomial populations out of c=4. The procedure considered combines sequential elimination of inferior populations and simultaneous sequential recruitment of superior populations. This extends the results of Leu and Levin (2004) to this new procedure.
Statistical Methodology | Statistical Theory
Leu, Cheng-Shiun and Levin, Bruce, "Proof of the Lower Bound Formula for the Probability of Correct Binomial Subset Selection with the Levin-Robbins-Leu Sequential Elimination and Recruitment Procedure in the Case b=2, c=4." (December 2006). Columbia University Biostatistics Technical Report Series. Working Paper 6.