A note on the view of the Pickands dependence function as a Lorenz curve

Fontanari, Andrea; Cirillo, Pasquale

doi:10.2139/ssrn.3938769

Publication type:	Working paper – expertise – study
Title:	A note on the view of the Pickands dependence function as a Lorenz curve
Authors:	Fontanari, Andrea Cirillo, Pasquale
et. al:	No
DOI:	10.2139/ssrn.3938769
Extent:	13
Issue Date:	2021
Publisher / Ed. Institution:	SSRN
ISSN:	1556-5068
Language:	English
Subjects:	Extremal copula; Inequality indice; Lorenz curve; Pickands function
Subject (DDC):	330: Economics
Abstract:	The goal of this note is to introduce a new way of representing and characterizing the Pickands dependence function in the bivariate framework, using the Lorenz curve, a well-know tool in wealth inequality studies. We first notice that the Pickands dependence function is nothing but a Lorenz curve in a particular coordinate system. Once this connection is established, we can use the representation of the Lorenz curve as integral of the quantile function of positive random variables to obtain a simple way to generate Pickands dependence functions, and to characterize their measure generating function. The new Lorenz representation also allows to import in the Pickands framework all the set of concentration measures usually found in the inequality studies literature, giving them bra
URI:	https://digitalcollection.zhaw.ch/handle/11475/24984
License (according to publishing contract):	Licence according to publishing contract
Departement:	School of Management and Law
Organisational Unit:	Institute of Business Information Technology (IWI)
Appears in collections:	Publikationen School of Management and Law

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Fontanari, A., & Cirillo, P. (2021). A note on the view of the Pickands dependence function as a Lorenz curve. SSRN. https://doi.org/10.2139/ssrn.3938769

Fontanari, A. and Cirillo, P. (2021) A note on the view of the Pickands dependence function as a Lorenz curve. SSRN. Available at: https://doi.org/10.2139/ssrn.3938769.

A. Fontanari and P. Cirillo, “A note on the view of the Pickands dependence function as a Lorenz curve,” SSRN, 2021. doi: 10.2139/ssrn.3938769.

FONTANARI, Andrea und Pasquale CIRILLO, 2021. A note on the view of the Pickands dependence function as a Lorenz curve. SSRN

Fontanari, Andrea, and Pasquale Cirillo. 2021. “A Note on the View of the Pickands Dependence Function as a Lorenz Curve.” SSRN. https://doi.org/10.2139/ssrn.3938769.

Fontanari, Andrea, and Pasquale Cirillo. A Note on the View of the Pickands Dependence Function as a Lorenz Curve. SSRN, 2021, https://doi.org/10.2139/ssrn.3938769.