Income modeling with the Weibull mixtures

Document Type

Article

Publication Date

6-1-2022

Abstract

In this paper, we introduce six Weibull based mixture distributions to model income data. Several statistical properties of these models are derived and their closed forms are presented. The mixture model parameters are estimated using the maximum likelihood method and their performances are assessed with respect to average income per tax unit data for ten countries using information based criteria approaches as well as graphical observations. In addition, we provide application of these models to two popular inequality measures, the Gini and Bonferroni indexes as well as the common generalized entropy index. Analytic expressions of the poverty measures are given for head-count ratio and poverty-gap ratio. All the mixture models show good fit to the data with close proximity to empirical Gini and Bonferroni indexes in almost all ten countries where the income data sets are studied.

Keywords

Weibull mixture models, maximum likelihood estimation, income data, information criteria

Publication Title

Communications In Statistics-Theory And Methods

Divisions

MathematicalSciences

Funders

Universiti Malaya (Grant No. GPF028B-2018)

Volume

51

Issue

11

Publisher

Taylor & Francis Inc

Publisher Location

530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA

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