The authors revisit the bounded maximal risk point estimation problem as well as the fixed-width confidence interval estimation problem for the largest mean among k(¸≥2) independent normal populations having unknown means and unknown but equal variance. In the point estimation setup, they devise appropriate two-stage and modified two-stage methodologies so that the associated maximal risk can be bounded from above exactly by a preassigned positive number. Kuo and Mukhopadhyay, however, emphasized only the asymptotics in this context. The authors have also introduced, in both point and interval estimation problems, accelerated sequential methodologies thereby saving sampling operations tremendously over the purely sequential schemes considered in Kuo and Mukhopadhyay, but enjoying at the same time asymptotic second-order characteristics, fairly similar to those of the purely sequential ones.
