On a multivariate Pareto distribution

On a multivariate gamma distribution

A multivariate probability model possessing a dependence structure that is reflected in its variance–covariance structure and gamma distributed univariate margins is introduced and studied. In particular, the higher order moments and cumulants, Chebyshevtype inequalities and multivariate probability density functions are derived. The model suggested herein is believed to be capable of describin...

Univariate and multivariate Pareto models

The Pareto distribution has long been recognized as a suitable model for many non-negative socio-economic variables. Univariate and multivariate variations abound. Some unification is possible by representing the Pareto variables in terms of independent gamma distributed components. Further unification is sometimes possible since some of the frequently used multivariate Pareto models share the ...

Screening for a Multivariate Mixture Normal Distribution

The Uniform-Pareto Distribution and Eeponentiated Uniform-Pareto Distribution and Their Application in Income Data

‎In this paper‎, ‎a new distribution is introduced‎, ‎which is a generalization of a well-known distribution‎. ‎This distribution is flexible and applies to income data modeling‎. ‎We first provide some of the mathematical and distributional properties of this new model and then‎, ‎to demonstrate the flexibility the new distribution‎, ‎we will present the applications of this distribution with ...

On Fitting of Generalized Pareto Distribution

The Pareto distribution is to model the income data set of a society. The distribution is appropriate to the situations in which an equilibrium exists in distribution of small to large. There exists many generalization approaches to the distribution. In this paper an effort has been made to compare the applicability of generalized Pareto distribution with Picklands (1975) by using a real life i...