Estimation of Inequality Indices of the Cumulative Distribution Function

Ramses H Abul Naga; Christopher Stapenhurst

doi:10.1016/j.econlet.2015.03.004

Estimation of Inequality Indices of the Cumulative Distribution Function

Ramses H Abul Naga^* (Corresponding Author), Christopher Stapenhurst

^*Corresponding author for this work

Office of National Statistics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

14 Downloads (Pure)

Abstract

Inequality indices for self-assessed health and life satisfaction are typically constructed as functions of the cumulative distribution function. We present a unified methodology for the estimation of the resulting inequality indices. We also obtain explicit standard error formulas in the context of two popular families of inequality indices that have emerged from this literature.

Original language	English
Pages (from-to)	109-112
Number of pages	4
Journal	Economics Letters
Volume	130
Early online date	8 Mar 2015
DOIs	https://doi.org/10.1016/j.econlet.2015.03.004
Publication status	Published - May 2015

Bibliographical note

This work has been carried out thanks to the support of the A*MIDEX project (No. ANR-11-IDEX-0001-02) funded by the “Investissements d’Avenir” French Government program, managed by the French National Research Agency (ANR). The views in this paper do not necessarily reflect the official views, endorsed or currently used methods of the Office for National Statistics. We are grateful to an anonymous reviewer for helpful comments. We are responsible for any errors.

Keywords

ordered response data
self-assessed health
multinominal sampling
large sample distributions
standard errors

Access to Document

10.1016/j.econlet.2015.03.004Licence: Unspecified

est_ethical_indices_cdf_11 2014Submitted manuscript, 132 KB
Estimation of Inequality Indices of the Cumulative Distribution Function
NOTICE: this is the author’s version of a work that was accepted for publication in Economics Letters . Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Economics Letters , VOL 130 (2015) DOI: 10.1016/j.econlet.2015.03.004 This manuscript is distributed in accordance with the Creative Commons Attribution Non Commercial-No Derivs (CC BY-NC-ND 4.0) license, which permits others to distribute this work non-commercially provided the original work is properly cited and the use is non-commercial. See: http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 134 KB

Cite this

@article{92ed92535a01400a9a832217828080e7,

title = "Estimation of Inequality Indices of the Cumulative Distribution Function",

abstract = "Inequality indices for self-assessed health and life satisfaction are typically constructed as functions of the cumulative distribution function. We present a unified methodology for the estimation of the resulting inequality indices. We also obtain explicit standard error formulas in the context of two popular families of inequality indices that have emerged from this literature. ",

keywords = "ordered response data, self-assessed health, multinominal sampling, large sample distributions, standard errors",

author = "{Abul Naga}, {Ramses H} and Christopher Stapenhurst",

note = "This work has been carried out thanks to the support of the A*MIDEX project (No. ANR-11-IDEX-0001-02) funded by the “Investissements d{\textquoteright}Avenir” French Government program, managed by the French National Research Agency (ANR). The views in this paper do not necessarily reflect the official views, endorsed or currently used methods of the Office for National Statistics. We are grateful to an anonymous reviewer for helpful comments. We are responsible for any errors.",

year = "2015",

month = may,

doi = "10.1016/j.econlet.2015.03.004",

language = "English",

volume = "130",

pages = "109--112",

journal = "Economics Letters",

issn = "0165-1765",

publisher = "Elsevier",

}

TY - JOUR

T1 - Estimation of Inequality Indices of the Cumulative Distribution Function

AU - Abul Naga, Ramses H

AU - Stapenhurst, Christopher

N1 - This work has been carried out thanks to the support of the A*MIDEX project (No. ANR-11-IDEX-0001-02) funded by the “Investissements d’Avenir” French Government program, managed by the French National Research Agency (ANR). The views in this paper do not necessarily reflect the official views, endorsed or currently used methods of the Office for National Statistics. We are grateful to an anonymous reviewer for helpful comments. We are responsible for any errors.

PY - 2015/5

Y1 - 2015/5

N2 - Inequality indices for self-assessed health and life satisfaction are typically constructed as functions of the cumulative distribution function. We present a unified methodology for the estimation of the resulting inequality indices. We also obtain explicit standard error formulas in the context of two popular families of inequality indices that have emerged from this literature.

AB - Inequality indices for self-assessed health and life satisfaction are typically constructed as functions of the cumulative distribution function. We present a unified methodology for the estimation of the resulting inequality indices. We also obtain explicit standard error formulas in the context of two popular families of inequality indices that have emerged from this literature.

KW - ordered response data

KW - self-assessed health

KW - multinominal sampling

KW - large sample distributions

KW - standard errors

U2 - 10.1016/j.econlet.2015.03.004

DO - 10.1016/j.econlet.2015.03.004

M3 - Article

SN - 0165-1765

VL - 130

SP - 109

EP - 112

JO - Economics Letters

JF - Economics Letters

ER -

Estimation of Inequality Indices of the Cumulative Distribution Function

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this