A family of bivariate Pareto distributions
P. G. Sankaran, N. Unnikrishnan Nair, Preethi John
Abstract
P. G. Sankaran, N. Unnikrishnan Nair, Preethi John
Abstract
Pareto distributions have been extensively used in literature for modelling and analysis of income and lifetime data. In the present paper, we introduce a family of bivariate Pareto distributions using a generalized version of dullness property. Some important bivariate Pareto distributions are derived as special cases. Distributional properties of the family are studied. The dependency structure of the family is investigated. Finally, the family of distributions is applied to two real life data situation
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Pareto distributions have been extensively used in literature for modelling and analysis of income and lifetime data. In the present paper, we introduce a family of bivariate Pareto distributions using a generalized version of dullness property. Some important bivariate Pareto distributions are derived as special cases. Distributional properties of the family are studied. The dependency structure of the family is investigated. Finally, the family of distributions is applied to two real life data situation
Key concepts: Bivariate analysis, Pareto principle, Mathematics, Statistics, Econometrics, Pareto distribution, Generalized Pareto distribution, Extreme value theory