Journal of Applied Mathematics and Decision Sciences
Volume 2008 (2008), Article ID 463781, 8 pages
doi:10.1155/2008/463781
Research Article
Tests of Fit for the Logarithmic Distribution
1School of Mathematical and Physical Sciences, University of Newcastle, NSW 2308, Australia
2Department of Applied Mathematics, Biometrics and Process Control, Ghent University, 9000 Gent, Belgium
Received 21 September 2007; Accepted 25 February 2008
Academic Editor: Chin Lai
Copyright © 2008 D. J. Best et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.