Advances on Income Inequality and Concentration Measures by Gianni Betti, Achille Lemmi

By Gianni Betti, Achille Lemmi

This impressive collection from a few of today’s best distributional analysts offers an outline quite a lot of financial, statistical and sociological relationships which have been unfolded for clinical learn through 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 booklet merits its position at the bookshelf of great mathematical economists everywhere.

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1903). ‘Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters’, Proceedings of the Edinburgh Mathematical Society, 21: 144–157. K. C. Christman (1992). ‘Effect of unequal catchability on estimates of the number of classes in a population’, Scandinavian Journal of Statistics, 19: 281–287. F. (1975). ‘Computational uses of the method of phases in the theory of queues’, Computational Mathematics and Applications, 1: 151–166. A. (1991). ‘Phase-type distributions and majorization’, Annals of Applied Probability, 1: 219–227.

Finally, Chapter 18, written by Süleyman Özmucur and Jacques Silber, presents an application on Internal migration, household size and income inequality in Turkey. This chapter analyses the impact of internal migration on income inequality in Turkey. It emphasizes the separate effects on inequality of changes in household size and in income when individuals move from rural to urban areas or between regions. The empirical analysis is based on the 1994 Income Survey. From the study it appears that there are two reasons why internal migration from rural to urban areas and between regions induces an increase in the inequality of per capita income, whether one looks at inequality between households or individuals.

An important contribution to our understanding of the Lorenz curve, and an important reason for its continued and growing acceptance among economists, was found in Dalton’s (1920) careful discussion of criteria that might be arguably accepted as being clearly desirable features of any measure of inequality and of any method for comparison of inequality between populations. The Lorenz curve may well have flourished without the contributions of Dalton, Hardy, Littlewood and Polya but it could not fail to flourish in the presence of such inputs.

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