Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 4, Pages 357-361
doi:10.1155/S1048953391000266
An asymptotic optimal design
Florida Institute of Technology, Department of Applied Mathematics, 150 W. University Blvd., Melbourne 32901, Florida, USA
Received 1 December 1990; Revised 1 May 1991
Copyright © 1991 Kamel Rekab. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.