Abstract
A piecewise sequential methodology and its merits have been recently discussed in Mukhopadhyay and Sen (1993), in the context of certain estimation problems. In the present paper, we examine the role and applicability of the theory of general multistage piecewise sampling methodologies in the area of estimation as well as selection and ranking. In each problem, second-order asymptotic characteristics of piecewise multistage methodologies are indicated.