The present study aims to investigate income distribution in Zanjan Province, for which the statistics of cost-income of the households in rural areas of Abhar County were used. They were available in the Statistical Center of Iran. In order to measure income distribution, the indicators of Lorenz curve, the Gini coefficient, the proportion of high-income groups to low-income groups, as well as...

Several evenness measures have been proposed for quantifying the distribution of abundance among community species, but none seems to be generally preferred. Since these measures have the common objective of summarizing community structure, they may be expected to be intercorrelated. In this paper, seven standard measures of evenness were calculated for 65 sample plots of ruderal vegetation wit...

یکی از مهم‌ترین مدهای حمل‌ونقل عمومی شبکة مترو است که تأثیر بسزایی در کاهش ترافیک و آلودگی هوا دارد. ازدیگرسو، با توجه به هزینه‌های سرسام‌آور راه‌اندازی مترو، توسعة مرحله‌به‌مرحله بهره‌برداری یک خط اجرای خطوط دیگر به‌دست مدیران شهری مورد است. بنابراین، هدف این تحقیق بررسی میزان دسترسی متروی اصفهان افق 1410، رویکرد عدالت مکانی، دو جنبة افقی عمودی پنج طبقة اجتماعی، استفاده شاخص‌های ضریب جینی، منح...

Robust Inequality Comparisons This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations Aaberge (2009) introduced two alternative sequences of nested dominance criteria for Lorenz curves wh...

This paper studies the problem of controlling chaos in Lorenz system. By dividing Lorenz system into two subsystems, the small gain theorem is used to design linear feedback controllers to make the equilibrium points of the controlled system globally asymptotically stable. Thus chaos in Lorenz system disappears under the controller.

The Gini index is a measure of the inequality of a distribution that can be derived from Lorenz curves. While commonly used in, e.g., economic research, it suffers from ambiguity via lack of Lorenz dominance preservation. Here, investigation of large sets of empirical distributions of incomes of the World's countries over several years indicated firstly, that the Gini indices are centered on a ...