Recently Zenga (2007) introduced a new inequality measure based on ratios between lower and upper group means. Differently from traditional inequality measures (i.e. Gini, Bonferroni, Theil), which may be viewed as a unique ratio of two means, the new synthetic inequality measure is defined as a mean of several ratios. In this paper 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. Definitions of these confidence intervals may be found in Davison and Hinkley (1997). While the underlying asymptotic theory for Gini's measure is well established, formal proofs for Zenga's index are still missing in literature. Nevertheless, 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. (2008). Asymptotic Confidence Intervals for a New Inequality Measure. In Società italiana di statistica (a cura di), Atti della 44. riunione scientifica : Università della Calabria : 25-27 giugno 2008 : sessioni plenarie, sessioni specializzate, sessioni spontanee (CD). Padova : CLEUP.

Asymptotic Confidence Intervals for a New Inequality Measure

Greselin, F;Pasquazzi, L
2008

Abstract

Recently Zenga (2007) introduced a new inequality measure based on ratios between lower and upper group means. Differently from traditional inequality measures (i.e. Gini, Bonferroni, Theil), which may be viewed as a unique ratio of two means, the new synthetic inequality measure is defined as a mean of several ratios. In this paper 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. Definitions of these confidence intervals may be found in Davison and Hinkley (1997). While the underlying asymptotic theory for Gini's measure is well established, formal proofs for Zenga's index are still missing in literature. Nevertheless, 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
No
Scientifica
Capitolo o saggio
Zenga's inequality measure, Gini's index, bootstrap confidence intervals
English
Atti della 44. riunione scientifica : Università della Calabria : 25-27 giugno 2008 : sessioni plenarie, sessioni specializzate, sessioni spontanee (CD)
9788861292284
Testo a stampa più CD-ROM
Greselin, F., & Pasquazzi, L. (2008). Asymptotic Confidence Intervals for a New Inequality Measure. In Società italiana di statistica (a cura di), Atti della 44. riunione scientifica : Università della Calabria : 25-27 giugno 2008 : sessioni plenarie, sessioni specializzate, sessioni spontanee (CD). Padova : CLEUP.
Greselin, F; Pasquazzi, L
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/5134
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