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- Title
Estimation of Gini Index within Pre-Specified Error Bound.
- Authors
Chattopadhyay, Bhargab; De, Shyamal Krishna
- Abstract
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.
- Subjects
GINI coefficient; NONPARAMETRIC statistics; ASYMPTOTIC efficiencies; U-statistics; SAMPLE size (Statistics)
- Publication
Econometrics (2225-1146), 2016, Vol 4, Issue 3, p30
- ISSN
2225-1146
- Publication type
Article
- DOI
10.3390/econometrics4030030