Estimates of Inequality Indices Based on Simple Random, Ranked Set, and Systematic Sampling. (19th September 2013)

• Record Type: Journal Article
• Authors: Bansal, Pooja; Arora, Sangeeta; Mahajan, Kalpana K.
• Other Names: Dang X. Academic Editor.; Lototsky S. Academic Editor.
• Is Part Of: ISRN probability and statistics. Volume 2013(2013)
• Publication Date: 2013-09-19
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Electronic journals; Periodicals; 519
• DOI: 10.1155/2013/659580
• Languages: English
• ISSNs: 2090-4711

Abstract

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.