Chen-G class of distributions

On Bivariate Generalized Exponential-Power Series Class of Distributions

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...

Explicit M/G/1 waiting-time distributions for a class of long-tail service-time distributions

O. J. Boxma and J. W. Cohen recently obtained an explicit expression for the M/G/1 steady-state waiting-time distribution for a class of service-time distributions with power tails. We extend their explicit representation from a one-parameter family of service-time distributions to a two-parameter family. The complementary cumulative distribution function (ccdf’s) of the service times all have ...

The behavior of the reliability functions and stochastic orders in family of the Kumaraswamy-G distributions

The Kumaraswamy distribution is a two-parameter distribution on the interval (0,1) that is very similar to beta distribution. This distribution is applicable to many natural phenomena whose outcomes have lower and upper bounds, such as the proportion of people from society who consume certain products in a given interval.  In this paper, we introduce the family of Kumaraswamy-G distribution, an...

The g Fa tor : Relating Distributions onFeatures to Distributions on

A Class of Symmetric Bivariate Uniform Distributions

A class of symmetric bivariate uniform distributions is proposed for use in statistical modeling. The distributions may be constructed to be absolutely continuous with correlations as close to ±1 as desired. Expressions for the correlations, regressions and copulas are found. An extension to three dimensions is proposed.