Journal of Statistical Theory and Applications

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Volume 18, Issue 3, September 2019, Pages 270 - 277

On the Influence Function for the Theil-Like Class of Inequality Measures

Authors
Tchilabalo Abozou Kpanzou1, Diam Ba2, Pape Djiby Mergane2, Gane Samb LO2, 3, *
1Kara University, Kara, Togo
2LERSTAD, Gaston Berger University, Saint-Louis, Senegal
3Evanston Drive, NW, Calgary, Canada; Associate Researcher, LSTA, Pierre et Marie University, Paris, France; Professor, African University of Sciences and Technology, Abuja, Nigeria
*Corresponding author. Email: gane-samb.lo@ugh.edu.sn; gslo@aust.edu.ng
Corresponding Author
Gane Samb LO
Received 12 June 2018, Accepted 11 March 2019, Available Online 30 August 2019.
DOI
10.2991/jsta.d.190818.002How to use a DOI?
Keywords
Influence function; Measures of inequality; Lorenz curve; Quantile function; Inequality measures; Theil; Kolm; Atkinson
Abstract

On one hand, a large class of inequality measures, which includes the generalized entropy, the Atkinson, the Gini, etc., for example, has been introduced in P.D. Mergane, G.S. Lo, Appl. Math. 4 (2013), 986–1000. On the other hand, the influence function (IF) of statistics is an important tool in the asymptotics of a nonparametric statistic. This function has been and is being determined and analyzed in various aspects for a large number of statistics. We proceed to a unifying study of the IF of all the members of the so-called Theil-like family and regroup those IF's in one formula. Comparative studies become easier.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 3
Pages
270 - 277
Publication Date
2019/08/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.190818.002How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Tchilabalo Abozou Kpanzou
AU  - Diam Ba
AU  - Pape Djiby Mergane
AU  - Gane Samb LO
PY  - 2019
DA  - 2019/08/30
TI  - On the Influence Function for the Theil-Like Class of Inequality Measures
JO  - Journal of Statistical Theory and Applications
SP  - 270
EP  - 277
VL  - 18
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190818.002
DO  - 10.2991/jsta.d.190818.002
ID  - Kpanzou2019
ER  -