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.
منابع مشابه
Decomposable Income Inequality Measures
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive o...
متن کاملIncome inequality measures.
The Gini coefficient has been the most popular method for operationalising income inequality in the public health literature. However, a number of alternative methods exist, and they offer researchers the means to develop a more nuanced understanding of the distribution of income. Income inequality measures such as the generalised entropy index and the Atkinson index offer the ability to examin...
متن کاملON TRUNCATED MEASURES OF INCOME INEQUALITY FROM A FUZZY PERSPECTIVE
In most statistical analysis, inequality or extent of variation in income isrepresented in terms of certain summary measures. But some authors arguedthat the concept of inequality is vague and thus cannot be measured as anexact concept. Therefore, fuzzy set theory provides naturally a useful toolfor such circumstances. In this paper we have introduced a real-valued fuzzymethod of illustrating t...
متن کاملDoes Inequality Harm the Middle-Class?
The paper provides estimates of the effect of economic inequality on middle class well being in Switzerland. Economic well being is proxied by a person’s satisfaction with his/her income. Two inequality indicators are used, one standard (the Gini coefficient of the pre-tax income distribution) and one novel (the number of luxury car registrations per 1000 population). Identification is through ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SHS web of conferences
سال: 2021
ISSN: ['2261-2424', '2416-5182']
DOI: https://doi.org/10.1051/shsconf/202111401019