Goodness-of-Fit and Sufficiency: Exact and Approximate Tests
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A procedure to test fit to a distribution where a minimal sufficient statistic is available, is discussed for testing the Poisson distribution. The test is exact, and is compared with a simpler approximate test. A remarkable correlation between the p-values given by the exact and the approximate procedures is found, and shows the power of the computer over and above what is usually acknowledged.
KeywordsCramér-von Mises tests Empirical distribution function Lehmann’s test Poisson distribution
AMS 2000 Subject Classifications62B05 62G10 62E17
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