Estimation of Gini index within pre-specified error bound

Bhargab Chattopadhyay and Shyamal Krishna De

Gini index is a widely used measure of economic inequality. This article develops a theory and methodology for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width without assuming any specific distribution of the data. Fixed sample size methods cannot simultaneously achieve both specified confidence coefficient and fixed width. We develop a purely sequential procedure for interval estimation of Gini index with a specified confidence coefficient and a specified margin of error. Optimality properties of the proposed method, namely first order asymptotic efficiency and asymptotic consistency properties are proved under mild moment assumptions of the distribution of the data.

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Year of publication:	September 2016
Authors:	Chattopadhyay, Bhargab ; De, Shyamal Krishna
Published in:	Econometrics : open access journal. - Basel : MDPI, ISSN 2225-1146, ZDB-ID 2717594-7. - Vol. 4.2016, 3, p. 1-12
Subject:	distribution-free method \| fixed width confidence interval \| Gini index \| sample size planning \| U-statistics \| Gini-Koeffizient \| Gini coefficient \| Schätztheorie \| Estimation theory \| Stichprobenerhebung \| Sampling \| Einkommensverteilung \| Income distribution