Tests of fit for the logarithmic distribution

Authors

Donald John Best, University of WollongongFollow
J. C. W Rayner, University of NewcastleFollow
Olivier Thas, Ghent UniversityFollow

RIS ID

43387

Publication Details

Best, D. J., Rayner, J. & Thas, O. (2008). Tests of fit for the logarithmic distribution. Journal of Applied Mathematics and Decision Sciences, 2008

Abstract

Smooth tests for the logarithmic distribution are compared with three tests: the first is a test due to Epps and is based on a probability generating function, the second is the Anderson-Darling test, and the third is due to Klar and is based on the empirical integrated distribution function. These tests all have substantially better power than the traditional Pearson-Fisher X² test of fit for the logarithmic. These traditional chi-squared tests are the only logarithmic tests of fit commonly applied by ecologists and other scientists.