Table of Contents
ISRN Probability and Statistics
Volume 2013, Article ID 659580, 14 pages
http://dx.doi.org/10.1155/2013/659580
Research Article

Estimates of Inequality Indices Based on Simple Random, Ranked Set, and Systematic Sampling

Department of Statistics, Panjab University, Chandigarh 160014, India

Received 16 June 2013; Accepted 2 August 2013

Academic Editors: X. Dang and S. Lototsky

Copyright © 2013 Pooja Bansal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Gini index, Bonferroni index, and Absolute Lorenz index are some popular indices of inequality showing different features of inequality measurement. In general simple random sampling procedure is commonly used to estimate the inequality indices and their related inference. The key condition that the samples must be drawn via simple random sampling procedure though makes calculations much simpler but this assumption is often violated in practice as the data does not always yield simple random sample. Nonsimple random samples like Ranked set sampling or stratified sampling are gaining popularity for estimating these indices. The purpose of the present paper is to compare the efficiency of simple random sample estimates of inequality indices with their nonsimple random counterparts. Monte Carlo simulation technique is applied to get the results for some specific distributions.