This erratum corrects typos in Okamoto (2012).

This paper compares the goodness-of-fit of two new types of parametric income distribution models (PIDMs), the kappa-generalized (kG) and double-Pareto lognormal (dPLN) distributions, with that of beta-type PIDMs using US and Italian data for the 2000s. A three-parameter model kG tends to...

For the first time, we propose a new distribution so-called the beta generalized Rayleigh distribution that contains as special sub-models some well-known distributions. Expansions for the cumulative distribution and density functions are derived. We obtain explicit expressions for the moments,...

In this paper, a new method is proposed for generating families of continuous distributions. A random variable <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation>, “the transformer”, is used to transform another random variable <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$T$$</EquationSource> </InlineEquation>, “the transformed”. The resulting family, the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$T$$</EquationSource> </InlineEquation>-<InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation> family of distributions, has a...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

In this paper, we consider the comparison of parametric families of income distributions in terms of inequality and relative deprivation, which are two important aspects for understanding the concentration of incomes in a population. Based on inequalities of their parameters, we give sufficient,...

In this paper we propose a hybrid hazard regression model with threshold stress which includes the proportional hazards and the accelerated failure time models as particular cases. To express the behavior of lifetimes the generalized-gamma distribution is assumed and an inverse power law model...

Efforts on the fundamentals of the nonextensive thermostatistical formulations of the realistic description of the physical systems have always been underway. In this context, the quantum systems of bosons and fermions are taken into consideration as g-ons. A new formalism of the unified...