Goodness-of-Fit and Sufficiency: Exact and Approximate Tests

Michael A. Stephens ()
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Michael A. Stephens: Simon Fraser University

Methodology and Computing in Applied Probability, 2012, vol. 14, issue 3, 785-791

Abstract: Abstract 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.

Keywords: Cramér-von Mises tests; Empirical distribution function; Lehmann’s test; Poisson distribution; 62B05; 62G10; 62E17 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s11009-011-9267-2

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