Goodness of fit for the Poisson distribution

D. J. Best and J. C. W. Rayner

Statistics & Probability Letters, 1999, vol. 44, issue 3, 259-265

Abstract: Two problems with the usual X2 test of fit for the Poisson distribution are how to pool the data and how much power is lost by this pooling. Smooth tests of fit as outlined in Rayner and Best (1989) avoid the pooling problems and provide weakly optimal and therefore powerful tests. Power comparisons between X2, smooth tests and a modified Kolmogorov-Smirnov statistic are given.

Keywords: Diagnostic; test; Dispersion; test; Empirical; distribution; function; Partition; of; X2 (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (3)

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