By Gianni Betti, Achille Lemmi
This impressive collection from a few of today’s major distributional analysts offers an summary a variety of financial, statistical and sociological relationships which were unfolded for medical learn by means of the paintings of 2 turn-of-the-20th-century economists: C. Gini and M. O. Lorenz.
The authors contain such figues as Barry Arnold and Frank Cowell and the ensuing e-book merits its position at the bookshelf of great mathematical economists everywhere.
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Additional resources for Advances on Income Inequality and Concentration Measures
The author distinguishes class inequality from individual inequality, the type that is better measured by the Gini index. Once the classes are estimated, the number of estimated classes obtained from the best-ﬁtting model facilitates the decomposition of the Gini index into individual and class inequality. Class inequality is then measured by a stratiﬁcation index based on the decomposition of the overall Gini into between-class and within-class inequality components. Therefore, the Gini index is extended and assisted by model-based clustering for measuring class inequality, thereby fulﬁlling its potential applicability.
Butterﬂies are hunted until n individuals have been trapped. Let R denote the random number of diﬀerent species represented among the n trapped butterﬂies. It is common practice to use the observed value of R to estimate the unknown parameter v. We may write R = Α v i=1 I(Xi > 0), where X = (X1, X2, . e. X ~ multinominal (n, p). Here p = (p1, p2, . , pv) in which pi denotes the probability that a particular trapped butterﬂy will be from species i,i = 1,2, . , v. Intuition suggests strongly that the distribution of R will depend on the variability in p (or on the inequality between the components of p).
Taguchi, T. (1972). ‘On the two-dimensional concentration surface and extensions of concentration coeﬃcient and Pareto distribution to the two-dimensional case (on an application of diﬀerential geometric methods to statistical analysis). ’, Annals of the Institute of Statistical Mathematics, 24: 355–381. 3 Gini, deprivation and complaints Frank A. 1 Introduction The early contributions of Gini and Lorenz have shaped the way the whole subject of income-distribution analysis has developed (Gini 1912, Lorenz 1905).
Advances on Income Inequality and Concentration Measures by Gianni Betti, Achille Lemmi