Journal of Applied Mathematics and Stochastic Analysis 
Volume 4 (1991), Issue 4, Pages 357-361
doi:10.1155/S1048953391000266

An asymptotic optimal design

Kamel Rekab

 Florida Institute of Technology, Department of Applied Mathematics, 150 W. University Blvd., Melbourne 32901, Florida, USA
Received 1 December 1990; Revised 1 May 1991

Abstract

The problem of designing an experiment to estimate the product of the means of two normal populations is considered. A Bayesian approach is adopted in which the product of the means is estimated by its posterior mean. A fully sequential design is proposed and shown to be asymptotically optimal.