The paper discusses the U-shaped relationship between the equivalence scale ne and the Gini index instead of considering the equivalence scale's relationship to the generalised entropy measures, which was studied by Coulter, et al. (1992). An end-point condition is given for the U-shaped...

This paper studies a new kind of generalized beta distribution that is different from the GB1 and GB2 of McDonald (1984). This new four-parameter statistical distribution, the extended k-generalized distribution of the second kind, abbreviated EkG2, is derived as one of two kinds of...

The paper discusses the ∪-shaped relationship between the equivalence scale n^ε and the Gini index instead of considering the equivalence scale’s relationship to the generalised entropy measures, which was studied by Coulter, et al. (1992). An end-point condition is given for the ∪-shaped...

This paper studies a new kind of generalized beta distribution that is different from the GB1 and GB2 of McDonald (1984). This new four-parameter statistical distribution, the extended k-generalized distribution of the second kind, abbreviated EkG2, is derived as one of two kinds of...

The paper discusses the U-shaped relationship between the equivalence scale ne and the Gini index instead of considering the equivalence scale's relationship to the generalised entropy measures, which was studied by Coulter, et al. (1992). An end-point condition is given for the U-shaped...

type="main" <p>C-class interpolation methods that preserve monotonicity and convexity and are thus suitable for the estimation of the Lorenz curve from grouped data are not widely known. Instead, parametric models are usually applied for such estimation. Parametric models, however, have difficulty...</p>

There are four-parameter income distribution models that have good reputation for goodness-of-fit. In contrast, the existing models with five or more parameters fail to achieve a satisfactory level of goodness-of-fit. We propose a new seven-parameter model that is empirically shown to be...