Open Access
VOL. 1 | 2018 Chapter 11. Asymptotic Theory and Statistical Decomposability gap Estimation for Takayama's Index
Mohamed Cheikh HAIDARA, Tchilabalo Abozou KPANZOU, Pape Djiby MERGANE, Gane Samb LO

Editor(s) Hamet SEYDI, Gane Samb LO, Aboubakary DIAKHABY


In the spirit of recent asymptotic works on the General Poverty Index (GPI) in the field of Welfare Analysis, the asymptotic statistical representation of the non-decomposable Takayama's index, which has failed to be incorporated in the unified GPI approach, is addressed and established here. This representation also allows to extend to it, recent results of statistical decomposability gaps estimations. The theoretical results are applied to real databases. The conclusions of the undertaken applications recommend to use Takayama's index as a practically decomposable one, in virtue of the low decomposability gaps with respect to the large values of the index.


Published: 1 January 2018
First available in Project Euclid: 26 September 2019

Digital Object Identifier: 10.16929/sbs/2018.100-02-08

Primary: 62G30 , 62P20 , 91B82

Keywords: asymptotic laws , Asymptotic representation , functional Gaussian process , Gaussian fields , statistical estimation of decomposability , welfare axiomatic , welfare index

Rights: Copyright © 2018 The Statistics and Probability African Society

Back to Top