Confidence Sets for Inequality Measures: Fieller-Type Methods
Jean-Marie Dufour,
Emmanuel Flachaire,
Lynda Khalaf and
Abdallah Zalghout
Additional contact information
Jean-Marie Dufour: McGill University = Université McGill [Montréal, Canada]
Post-Print from HAL
Abstract:
Asymptotic and bootstrap inference methods for inequality indices are for the most part unreliable due to the complex empirical features of the underlying distributions. In this paper, we introduce a Fieller-type method for the Theil Index and assess its finite-sample properties by a Monte Carlo simulation study. The fact that almost all inequality indices can be written as a ratio of functions of moments and that a Fieller-type method does not suffer from weak identification as the denominator approaches zero, makes it an appealing alternative to the available inference methods. Our simulation results exhibit several cases where a Fieller-type method improves coverage. This occurs in particular when the Data Generating Process (DGP) follows a finite mixture of distributions, which reflects irregularities arising from low observations (close to zero) as opposed to large (right-tail) observations. Designs that forgo the interconnected effects of both boundaries provide possibly misleading finite-sample evidence. This suggests a useful prescription for simulation studies in this literature.
Date: 2018-02-03
References: Add references at CitEc
Citations: View citations in EconPapers (2)
Published in Productivity and Inequality, Springer International Publishing, pp.143-155, 2018, 978-3-319-68678-3
There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.
Related works:
Chapter: Confidence Sets for Inequality Measures: Fieller-Type Methods (2018)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01986513
Access Statistics for this paper
More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().