On Fixed and Random Designs for Estimation with Comparisons

Document Type

Presentation

Presentation Date

3-31-2006

Abstract or Description

In this note, results on the lower bound for the Bayes risk due to estimation of the mean difference of two populations belonging to the exponential family and expected cost are presented and shown to be of first order efficiency. Comparisons of the random and best fixed designs for the estimation of the mean difference of two Poisson distributions as well as the exponential distributions using gamma priors are presented. Numerical results are also given.

Sponsorship/Conference/Institution

Joint Meeting of the Southeastern Section of the Mathematical Association of America (MAA-SE) and Southeastern Atlantic Section of the Society for Industrial and Applied Mathematics (SIAM-SEAS)

Location

Auburn, AL

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