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Department of Mathematical Sciences
DATE: | Thursday, November 15, 2018 |
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TIME: | 1:15pm – 2:15pm |
LOCATION: | WH 100E |
SPEAKER: | Li, Kexuan, Binghamton University |
TITLE: | A proof of optimality of the Sequential Probability Ratio Test |
Abstract
We present a proof that Wald's (1947) Sequential Probability Ratio Test for simple hypotheses delivers the smallest possible expected sample size under either hypothesis among all reasonable tests with fixed type I and type II error probabilities.