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Comparing the relative efficiency of three sequential procedures
Authors:Taoufik Zoubeidi  Claude Chevre
Institution:1. Department of Statistics , U.A.E. University , 17555, United Arab Emirates , P.O. Box Al-Ain;2. Department of Mathematics , Swiss Federal Institute of Technology , 1015, Lausanne, Switzerland
Abstract:We consider the sequential procedures developed by Robbins and Siegmund (1974), Louis (1975) and Zoubeidi (1992) for comparing the means of two treatments. We let the procedures have equal power functions and compare their Bayes and minimax risks using the invariance property of their power functions. For each of several formulations of the problem we determine the most relatively efficient procedure and compute its expected total sample size.
Keywords:allocation rules  minimax risk  Bayes risk  sequential tests  posterior distributions
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