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On the sample size of curtailed tests
Authors:Bennett Eisenberg
Affiliation:Department of Mathematics , Lehigh University , Bethlehem, Pennsylvania, 18015
Abstract:Formulas are given for the asymptotic distribution, mean, and variance of m-1Nm,where NNm is the random sample size of the curtailed version of a fixed-sample most powerful test based on sample size m. The adequacy of the formulas is numerically investigated in some important applications where exact formulas can also be derived
Keywords:curtailed and UMP tests  optimal stopping times  sequential tests  asymptotic theory
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