A copula is a useful tool for constructing bivariate and/or multivariate distributions. In this article, we consider a new modified class of (Farlie-GumbelMorgenstern) FGM bivariate copula for constructing several different bivariate Kumaraswamy type copulas and discuss their structural properties, including dependence structures. It is established that construction of bivariate distributions b...

To model correlated bivariate count data with extra zero observations, this paper proposes two new bivariate zero-inflated generalized Poisson (ZIGP) distributions by incorporating a multiplicative factor (or dependency parameter) λ, named as Type I and Type II bivariate ZIGPλ distributions, respectively. The proposed distributions possess a flexible correlation structure and can be used to fit...

In 2004, Rodr'{i}guez-Lallena and '{U}beda-Flores have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In 2006, Dolati and '{U}beda-Flores presented multivariate generalizations of this class. Then in 2011, Kim et al. generalized Rodr'{i}guez-Lallena and '{U}beda-Flores' study to any given copula family. But ther...

1 Univariate Statistics and Histograms . . . . . . . . . . . . . . . . . . 2 1.1 Measures of Location . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Measures of Position . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Measures of Dispersion . . . . . . . . . . . . . . . . . . . . . . 7 2 Comparing the Distributions of Datasets . . . . . . . . . . . . . . . . 8 2.1 Comparing Empirical a...

AMS subject classifications: 62E15 60E05 Keywords: Bivariate exponential distributions Bivariate chi-square distributions Correlated quadratic forms a b s t r a c t We introduce a class of absolutely continuous bivariate exponential distributions, generated from quadratic forms of standard multivariate normal variates. This class is quite flexible and tractable, since it is regulated by two par...

A class of generalized bivariate Marshall–Olkin distributions, which includes as special cases the Marshall-Olkin bivariate exponential distribution and the Marshall-Olkin type distribution due to Muliere and Scarsini (1987), are examined in this paper. Stochastic comparison results are derived, and bivariate aging properties, together with properties related to evolution of dependence along ti...