Income inequality measures and the middle class

نویسندگان

چکیده

We study how the presence of middle class in sense Gevorgyan-Malykhin affects value income inequality measures including Gini coefficient J and Hoover index H. It is proved that (1) $J \leqslant \frac{1}{2}\frac{{L'\left( 0 \right)}}{2}$ (where L Lorenz function), (2) $H \frac{1}{2}$, (3) longest vertical distance between diagonal curve (which equal to H) attained at ${z_0} < \frac{3}{4}$ A tight upper bound for P90/P10 ratio found assuming ′(0)>0. Tight lower bounds differential deviation terms are as well.

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ژورنال

عنوان ژورنال: SHS web of conferences

سال: 2021

ISSN: ['2261-2424', '2416-5182']

DOI: https://doi.org/10.1051/shsconf/202111401019