The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
Abstract Details
Activity Number:
|
664
|
Type:
|
Contributed
|
Date/Time:
|
Thursday, August 4, 2011 : 10:30 AM to 12:20 PM
|
Sponsor:
|
Section on Survey Research Methods
|
Abstract - #302091 |
Title:
|
Inference for the Zenga Inequality Index
|
Author(s):
|
Matti Langel*+ and Yves Tillé
|
Companies:
|
University of Neuchâtel and University of Neuchâtel
|
Address:
|
rue de la Pierre-à-Mazel 7, Neuchâtel, International, 2000, Switzerland
|
Keywords:
|
inequality ;
sampling ;
linearization ;
variance estimation ;
Gini index ;
influence function
|
Abstract:
|
The Zenga Index is a recent inequality measure associated with a new inequality curve, the Zenga curve. The Zenga curve $Z(\alpha)$ is the ratio of the mean income of the $100\alpha \%$ poorest to that of the $100(1-\alpha)\%$ richest. The Zenga index can also be expressed by means of the Lorenz Curve and some of its properties make it an interesting alternative to the Gini index. Like most other inequality measures, inference on the Zenga index is not straightforward. Some research on its properties and on estimation has already been conducted but inference in the sampling framework is still needed. In this paper, we propose an estimator and variance estimator for the Zenga index when estimated from a complex sampling design. The proposed variance estimator is based on linearization techniques and more specifically on the direct approach presented by Demnati and Rao. The quality of the resulting estimators are evaluated in Monte Carlo simulation studies on real sets of income data and robustness issues are briefly discussed.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2011 program
|
2011 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.