Information Measures for Generalized Beta Distributions as an Income Distribution

Abstract

In this paper, we study the information properties of generalized beta of the second kind (GB2) distribution. We derived discrimination information function between two GB2 distributions with different parameters and between the GB2 and its subfamilies, including the generalized gamma (GG), Beta of the second kind, Singh-Maddala, Dagum, Fisk, Lomax and Inverse Lomax distributions. For large values of q, we have shown through using Stirling's formula the discrimination information function between GB2 and GG_o as a special case, where GG_o is a generalized gamma distribution with specified parameters. So, our results are the extended version of what was obtained by Dadpay, et al. [1]. Our achievement for a big class of distributions such as the one mentioned above is held. Finally, we discussed the minimum discrimination information model for GB2 family.