Libri di Leo Pasquazzi - libri Vita e Pensiero

# Leo Pasquazzi

### Titoli dell'autore

First applications of a new three-parameter distribution for non-negative variables digital
Anno: 2012
SUMMARY Zenga (2010a) recently proposed a new three-parameter family of density functions for non-negative variables. Its properties resemble those of economic size distributions: it has positive asymmetry, Paretian right tail and it may be zeromodal, unimodal or even bimodal. In this paper we explore some methods for fitting the new density to empirical income distributions. We will see that D’Addario’s invariants method clearly outperforms Pearson’s moments method, which does not seem to work well with heavy tailed distributions. Further, we propose some new methods based on the minimization of a measure for the goodness of fit, imposing restrictions on the parameter space to preserve some features of the empirical distribution in the fitted model. We will see that these methods provide very satisfactory results with income distributions from Italy, Swiss, US and UK. Keywords: Income Distribution, Zenga’s Distribution, Goodness of Fit, Moments Method, Invariants Method.
More on M.M. Zenga’s new three-parameter distribution for nonnegative variables digital
Anno: 2011
SUMMARY Recently Zenga (2010) has proposed a new three-parameter density function f (x : µ; α; θ), (µ > 0; α > 0; θ > 0), for non-negative variables. The parameter µ is equal to the expectation of the distribution. The new density has positive asymmetry and Paretian right tail. For θ > 1, Zenga (2010) has obtained the expressions of: the distribution function, the moments, the truncated moments, the mean deviation and Zenga’s (2007a) point inequality A(x) at x = µ. In the present paper, as to the general case θ > 0, the expressions of: the distribution function, the ordinary and truncated moments, the mean deviations and Zenga’s point inequality A (µ) are obtained. These expressions are more complex than those previously obtained for θ > 1 by Zenga (2010). The paper is enriched with many graphs of: the density functions (0.5 ≤ θ ≤ 1.5), the Lorenz L(p) and Zenga’s I (p) curves as well as the hazard and survival functions. Keywords: Non-Negative Variables, Positive Asymmetry, Paretian Right Tail, Beta Function, Lorenz Curve, Zenga’s Inequality Curve, Hazard Function, Survival Function.
Minimum sample sizes in asymptotic confidence intervals for Gini’s inequality measure digital
Anno: 2008
Statistical inference for inequality measures has been of considerable interest in recent years. Income studies often deal with very large samples, hence precision would not seem a serious issue. Yet, in many empirical studies large standard errors are observed (Maasoumi, 1997). Therefore, it is important to provide methodologies to assess whether differences in estimates are statistically significant. This paper presents an analysis of the performance of asymptotic confidence intervals for Gini’s index, virtually the most widely used inequality index. To determine minimum sample sizes assuring a given accuracy in confidence intervals, an extensive simulation study has been carried out. A wide set of underlying distributions has been considered, choosing from specific models for income data. As expected, the minimum sample sizes are seriously affected by some population characteristics as tail heaviness and asymmetry. However, in a wide range of cases, it turns out that they are smaller than sample sizes actually used in social sciences.

### News

24.11.2023
Incontri con l'Autore: Silvano Petrosino a Verona
Sabato 16 dicembre presentazione di "Le fiabe non raccontano favole" di Silvano Petrosino a Verona: diventare donna attraverso Cappuccetto Rosso, Biancaneve e Cenerentola.
27.11.2023
Avvento e Natale: gioia per tutti
Un estratto dal libro "Si destano gli angeli" di Tomáš Halík, per confortare, incoraggiare e ispirare “chi è ancora in cerca di altro” in questi tempi difficili.
01.12.2023
Libri da leggere e regalare a Natale
Libri per gli appassionati di letteratura, libri per ritrovare il senso delle piccole cose e meditare il Natale con gioia, quella vera.
21.11.2023
Alberto Gibilaro a Lodi con “Il Liber Hymnorum”
Lunedì 11 dicembre presentazione di "Il Liber Hymnorum di Ilario di Poitiers" con l'autore Alberto Gibilaro e il professor Luigi Galasso a Lodi.

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