Characterizations of a family of bivariate Pareto distributions

Authors

  • Paduthol Godan Sankaran Cochin University of Science and Technology
  • N. Unnikrishnan Nair Cochin University of Science and Technology
  • Preethi John Cochin University of Science and Technology

DOI:

https://doi.org/10.6092/issn.1973-2201/6099

Keywords:

Bivariate Pareto distributions, characterization, dullness property, income gap ratio, generalized failure rate

Abstract

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.

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Published

2015-09-30

How to Cite

Sankaran, P. G., Nair, N. U., & John, P. (2015). Characterizations of a family of bivariate Pareto distributions. Statistica, 75(3), 275–290. https://doi.org/10.6092/issn.1973-2201/6099

Issue

Vol. 75 No. 3 (2015)

Section

Articles

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