Selection problems based on ranked data (Q1392514)

The paper investigates topics on the selection problems based on the vector and the combined ranks, with special reference to the structures of population parameters. Attention has been paid to the vector statistics. First, obtaining the joint distribution of the rank sums, exact results on the problems of selecting the best population based on the vector rank are given. Then, asymptotic results are given for both the vector rank and the combined rank cases using their respective moments. The main emphasis is paid to the fact that the results are given with reference to the distributions of the underlying populations. The problem of determining the least favourable configuration is discussed in several points, and finally, under the assumption of the parametric configuration, some asymptotic results on the least favourable configuration are provided.