Estimation of Gini Index within Pre-Specified Error Bound
نویسنده
چکیده
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.
منابع مشابه
Prediction by Categorical Features: Generalization Properties and Application to Feature Ranking
We describe and analyze a new approach for feature ranking in the presence of categorical features with a large number of possible values. It is shown that popular ranking criteria, such as the Gini index and the misclassification error, can be interpreted as the training error of a predictor that is deduced from the training set. It is then argued that using the generalization error is a more ...
متن کاملتعیین حد پائین واریانس خطای تخمین برای زاویه سیگنال دریافتی با استفاده از روش CRB در آنتن های آرایه ای
One of the important issues in many of array systems such as Radar, Sonar, Mobile, and satellite telecommunications is the estimation of DOA of narrowband received signal. CRB is very important in evaluation of parameter estimation. CRB is the lower bound estimation error variance for any unbiased estimation. In this paper, the array antenna with equal distance arrays is extended in two separat...
متن کاملRegional Income Stratification in Unified Germany Using a Gini Decomposition Approach
Regional Income Stratification in Unified Germany Using a Gini Decomposition Approach This paper delivers new insights into the development of income inequality and regional stratification in Germany after unification using a new method for detecting social stratification by a decomposition of the GINI index which yields the obligatory betweenand within-group components as well as an “overlappi...
متن کاملFUZZY INTEGRO-DIFFERENTIAL EQUATIONS: DISCRETE SOLUTION AND ERROR ESTIMATION
This paper investigates existence and uniqueness results for the first order fuzzy integro-differential equations. Then numerical results and error bound based on the left rectangular quadrature rule, trapezoidal rule and a hybrid of them are obtained. Finally an example is given to illustrate the performance of the methods.
متن کاملAdjusting for age effects in cross-sectional distributions
Income and wealth differ over the life cycle. In cross-sectional distributions of income or wealth, classical inequality measures such as the Gini, could therefore find substantial inequality even if everyone have the same life-time income or wealth. We describe the AG index (Almås and Mogstad, 2011) which is a generalization of the classical Gini index with attractive properties, and we provid...
متن کامل