Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1148364 | Journal of Statistical Planning and Inference | 2009 | 11 Pages |
Abstract
The paper studies the three-parameter generalization of the logarithmic distribution that is obtained as the cluster distribution for the generalized Euler distribution. The diagnostic statistic, R(x)=xpx/[(x-1)px-1], is constant for the logarithmic distribution. For the new distribution it can decrease, stay constant, or increase as x increases. The relative values of the extra parameters determine the flatness/hollowness of the distribution and its tail behaviour. Kemp's q-logarithmic distribution and the Euler cluster distribution are special cases. Fitted data sets illustrate the properties of the distribution and its limiting forms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Adrienne W. Kemp, C. David Kemp,