Document Type


Publication Date


Publication Title

Journal of Statistical and Econometric Methods




This paper applies the class of weighted generalized beta distribution of the second kind (WGB2) as descriptive models for size distribution of income. The properties of WGB2 including mean, variance, coefficient of variation (CV), coefficient of skewness (CS), coefficient of kurtosis (CK) are presented. Other properties including top-sensitive index, bottom-sensitive index, mean logarithmic deviation (MLD) index and Theil index obtained from generalized entropy (GE) are applied in this paper. WGB2 proved to be in the generalized beta-F family of distributions, and maximum likelihood estimation (MLE) is used to obtain the parameter estimates. WGB2 is fitted to U.S. family income (2001-2009) data with different values of the parameters. The empirical results show the length-biased distribution provides the best relative fit.


The Scienpress Ltd as Publisher applies the Creative Commons Attribution License (CCAL) to all works we publish. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles in Scienpress Ltd journals, so long as the original authors and source are cited. No permission is required from the authors or the publishers.

Article obtained from Journal of Statistical and Econometric Methods.