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A comparison of income distributions models through inequality curves digital
format: Article | STATISTICA & APPLICAZIONI - 2016 - 2
Year: 2016
In this paper the features of some distribution models used in the literature to depict income distributions are analysed. The analysis is based on the inequality curves generated by such models...
Bipolar distributions in fuzzy sets theory digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 2
Year: 2015
In this paper we consider the problem of measuring latent variables with ordinal scales and we put forward an original approach to this issue, which combines the use of Intuitionistic Fuzzy Sets with the calculation of bipolar means and bipolar distributions. Intuitionistic Fuzzy theory allows a researcher to model the degree of membership and non-membership to a certain fuzzy set, as well as the residual uncertainty...
A Generalized multivariate skew-normal distribution with applications to spatial and regression predictions digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 1
Year: 2015
In this paper, a generalization to the multivariate skew-normal distribution of Arnold and Beaver (2002) is proposed. Also several distributional properties of the proposed distribution are explored. The proposed distribution has been used to define a stochastic process called the generalized-skew Gaussian process...
On the distribution of the sum of cograduated discrete random variables with applications to credit risk analysis digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 1
Year: 2015
This paper focuses on the notion of cograduation which was first introduced in 1939 by the Italian statistician Tommaso Salvemini. In few words, a certain number of random variables are cograduated if they are associated with the maximum positive dependence. Here, it is shown how to derive the probability distribution of the sum of cograduated discrete random variables...
The distribution of the absolute value of the ratio of two correlated normal random variables digital
format: Article | STATISTICA & APPLICAZIONI - 2015 - 1
Year: 2015
The aim of this paper is to study the distribution of the absolute quotient of two Correlated Normal random variables (r.v.s). This study may have many applications, as often the researcher expects a ratio to be positive or considers the sign of the ratio unimportant...
The turn of the screw. Changes in income distribution in Italy (2002-2010) digital
format: Article | STATISTICA & APPLICAZIONI - 2014 - 2
Year: 2015
This article uses data from the 2002-2010 waves of Bank of Italy Survey on Households Income and Wealth. It reports data on the evolution of the distribution of income by main households’ income sources and by households’ income rank and on the evolution of concentration indexes by the same characters...
Zenga distribution: parameters estimation with constraints on synthetic inequality indices digital
format: Article | STATISTICA & APPLICAZIONI - 2014 - 1
Year: 2015
In 2010, Zenga introduced a three-parameter model for distributions by size, with Paretian right-tail and expectation always finite...
The potential of the I(p) inequality curve in the analysis of empirical distributions digital
format: Article | STATISTICA & APPLICAZIONI - 2014 - 1
Year: 2015
The possibility of analysing the inequality of a frequency distribution through a point measure is undoubtedly an advantage for any socioeconomic research. The Lorenz curve is the cornerstone on which other global inequality measures have been subsequently introduced...
Maximum likelihood estimator of the shape parameter of the weibull distribution using ranked set sampling digital
format: Article | STATISTICA & APPLICAZIONI - 2013 - 2
Year: 2014
In this paper, we will consider the (maximum likelihood estimators) MLEs of the shape parameter p of the Weibull distribution...
A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model digital
format: Article | STATISTICA & APPLICAZIONI - 2013 - 2
Year: 2014
In this paper, the performances in fitting incomes of three different mixtures of Polisicchio distributions are compared...
The confluent hypergeometric-mixture of Polisicchio distributions: a generalized Zenga distribution
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format: Article | STATISTICA & APPLICAZIONI - 2013 - 1
Year: 2013
We propose a generalization of the three-parameters Zenga distribution obtaining a four-parameters model. The generalization is performed using the confluent hypergeometric distribution as mixing distributions in place of the classical beta. We compare the flexibility of the resulting model with that of the Zenga distribution observing some improvements.
Application of Zenga’s distribution to a panel survey on household incomes of European Member States
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format: Article | STATISTICA & APPLICAZIONI - 2013 - 1
Year: 2013
In this paper Zenga’s distribution is applied to 114 household incomes distributions from a panel survey conducted by Eurostat. Previous works showed the good behaviour of the model to describe income distributions and analyzed the possibility to impose restrictions on the parametric space so that the fitted models comply with some characteristics of interest of the samples. This work is the first application of the model on a wide number of distributions, showing that it can be used to describe incomes distributions of several countries. Maximum likelihood method on grouped data and methods based on the minimization of three different goodness of fit indexes are used to estimate parameters. The restriction that imposes the equivalence between the sample mean and the expected value of the fitted model is also considered. It results that the restriction should be used and the changes in fitting are analyzed in order to suggest which estimation method use jointly to the restriction. A final section is devoted to the direct proof that Zenga’s distribution has Paretian right-tail.