Methodology and Computing in Applied Probability

, Volume 14, Issue 3, pp 785–791 | Cite as

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

  • Michael A. Stephens


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.


Cramér-von Mises tests Empirical distribution function Lehmann’s test Poisson distribution 

AMS 2000 Subject Classifications

62B05 62G10 62E17 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Statistics and Actuarial ScienceSimon Fraser UniversityBurnabyCanada

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