Comparing Some Properties of Leftist and Rightist Measures of Inequality

Katarzyna Ostasiewicz


Most of commonly used measures of inequality belongs to the so-called rightist measures which are defined by scale-invariance. However, there exist also so-called leftist measures, defined by translation invariance. According to surveys of subjective feelings of people, some feel that after multiplying each value of the distribution by the same constant value the inequality remains constant, while the other group feel that the inequality does not change after adding the same value to each value of the distribution. This ambiguity led to proposing by some authors measures of inequality that have properties of both rightist and leftist measures, that is, are invariant over rescaling and over translation. In this paper we examine the potential differences between iso-inequality contour plots for these two groups of measures, confronting with the properties of measure belonging mutually to both of the groups
Author Katarzyna Ostasiewicz (MISaF / IZM / KS)
Katarzyna Ostasiewicz,,
- Katedra Statystyki
Publication size in sheets0.55
Book Gardoń Albert, Kozyra Cyprian, Mazurek Edyta (eds.): Applications of Mathematics and Statistics in Economics 2017. Conference proceedings full text papers, 2017, Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu, ISBN 978-83-7695-693-0, 494 p.
Keywords in Englishrightist inequality measure, leftist inequality measure, iso-inequality contour, inequality measurement
Languageen angielski
Ostasiewicz_Comparing_Some_ Properties_ of_ Leftist2017.pdf 1,48 MB
Score (nominal)20
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