[Home ] [Archive]   [ فارسی ]  
:: Main :: About :: Current Issue :: Archive :: Search :: Submit :: Contact ::
:: Volume 21, Issue 2 (3-2011) ::
مجله‌ی بررسی‌ها 2011, 21(2): 151-168 Back to browse issues page
Characterization of Lorenz Ordering for Families of Income Distribution
Z. Behdani, R. Mohtashami Borzadaran *, Y. Waghei
Abstract:   (3360 Views)

 The Lorenz curve (LC) is one of the most important graphic tool for the measurement of income inequality, which was introduced by Max Otto Lorenz for the first time in 1905 and since then it has been studied in various fields and is now fully recognized as a subject used in scientific research. The Lorenz order is a partial order and a simple tool for comparing the alteration of non-negative random variables and is important in many fields including economics, social studies and reliability. The developments of the Lorenz curve and Lorenz order is applied in many areas of scientific fields which we have many more features of these concepts in statistics, relying on its application in the economy. 
In this article, first of all we introduce beta distribution family. Then we have shown the some special cases by letting the parameters to have specific values. More features and characteristics of Lorenz order for income distribution family are made and we compare these orders theoretically for the different distributions.
Random variables like the Lorenz curves have an easier hierarchical Lorenz order. This made us to explain the characteristics of them in a part of the article. Finally, we estimate Lorenz curves and Gini coefficient of households in Iran in 1384 and we discuss ordering the earnings data in South Khorasan province in terms of rural and urban income data.

Keywords: Income distribution, Lorenz curve, Gini coefficient, Lorenz order, Star-shaped order, Convex order.
Full-Text [PDF 942 kb]   (1185 Downloads)    
Type of Study: Research | Subject: General
Received: 2010/01/5 | Accepted: 2010/11/16 | Published: 2016/01/13
Send email to the article author

Add your comments about this article
Your username or Email:


XML   Persian Abstract   Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Behdani Z, Mohtashami Borzadaran R, Waghei Y. Characterization of Lorenz Ordering for Families of Income Distribution. مجله‌ی بررسی‌ها 2011; 21 (2) :151-168
URL: http://ijoss.srtc.ac.ir/article-1-91-en.html

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 21, Issue 2 (3-2011) Back to browse issues page
مجله‌ی بررسی‌های آمار رسمی ایران Ijoss Iranian Journal of Official Statistics Studies
Persian site map - English site map - Created in 0.05 seconds with 30 queries by YEKTAWEB 4540