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Since there is a one-to-one correspondence between confidence sets and tests of hypotheses, there is some correspondence between the optimality of tests and the optimality of confidence sets. …
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Illustrate using the Karlin-Rubin Theorem to find the uniformly most powerful test on the rate of an exponential distribution. Also illustrated is showing the gamma family of distributions, when the…
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Illustrate the Karlin-Rubin Theorem and monotone likelihood ratio for an upper-tailed test on the rate of a Poisson.
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Illustrate the Neyman-Pearson Lemma to construct a uniformly most powerful test for a test of the rate of an exponential distribution.
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A hypothesis test might make one of two types of errors. These two types of errors traditionally have been given the names "Type I Error," and "Type II Error." If the parameter…
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