Recently Zenga (2007) introduced a new inequality measure based on ratios between lower and upper group means. extbf{Both Zenga's new measure and Gini's index may be interpreted in terms of areas beneath inequality curves. }In this extbf{work }the performance of asymptotic confidence intervals for Gini's measure and for the new measure is tested. Several types of confidence intervals are considered: the normal, the percentile, the BCa and the $t$-bootstrap. While the underlying asymptotic theory for Gini's measure is well established, formal proofs for Zenga's index are extbf{currently being explored and developed}. Indeed, also in view of our simulation results, asymptotic properties similar to those of Gini's index can be expected to hold also for Zenga's new inequality measure.
Greselin, F., Pasquazzi, L. (2009). Asymptotic Confidence Intervals for a New Inequality Measure. Intervento presentato a: Workshop on Income Distribution - Second Meeting - 23 April 2009, Milano.
Asymptotic Confidence Intervals for a New Inequality Measure
GRESELIN, FRANCESCA;PASQUAZZI, LEO
2009
Abstract
Recently Zenga (2007) introduced a new inequality measure based on ratios between lower and upper group means. extbf{Both Zenga's new measure and Gini's index may be interpreted in terms of areas beneath inequality curves. }In this extbf{work }the performance of asymptotic confidence intervals for Gini's measure and for the new measure is tested. Several types of confidence intervals are considered: the normal, the percentile, the BCa and the $t$-bootstrap. While the underlying asymptotic theory for Gini's measure is well established, formal proofs for Zenga's index are extbf{currently being explored and developed}. Indeed, also in view of our simulation results, asymptotic properties similar to those of Gini's index can be expected to hold also for Zenga's new inequality measure.File | Dimensione | Formato | |
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