Characterizations of a family of bivariate Pareto distributions

In the present paper, we study properties of a family of bivariate Pareto distributions. The well known dullness property of the univariate Pareto model is extended to the bivariate setup. Two measures of income inequality viz. income gap ratio and mean left proportional residual income are defined...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Statistica (Bologna) 2015-01, Vol.75 (3), p.275-290
Hauptverfasser:	Sankaran, P G, N Unnikrishnan Nair, Preethi, John
Format:	Artikel
Sprache:	eng ; ita
Schlagworte:	Bivariate Pareto distributions characterization dullness property generalized failure rate income gap ratio Mathematical models Random variables Statistical methods Statistics Studies
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In the present paper, we study properties of a family of bivariate Pareto distributions. The well known dullness property of the univariate Pareto model is extended to the bivariate setup. Two measures of income inequality viz. income gap ratio and mean left proportional residual income are defined in the bivariate case. We also introduce bivariate generalized failure rate useful in reliability analysis. Characterizations, using the above concepts, for various members of the family of bivariate Pareto distributions are derived.
ISSN:	0390-590X 1973-2201
DOI:	10.6092/issn.1973-2201/6099