Flexible bivariate beta distributions

Bivariate Beta Distributions and Beyond

Reliability for Some Bivariate Beta Distributions

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X < Y). The algebraic form for R = Pr(X < Y) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, we consider forms of R when (X ,Y) follows a bivaria...

Bivariate beta-generated distributions with applications to well-being data

The class of beta-generated distributions (Commun. Stat. Theory Methods 31:497–512, 2002; TEST 13:1–43, 2004) has received a lot of attention in the last years. In this paper, three new classes of bivariate beta-generated distributions are proposed. These classes are constructed using three different definitions of bivariate distributions with classical beta marginals and different covariance s...

Asymmetric Univariate and Bivariate Laplace and Generalized Laplace Distributions

Alternative specifications of univariate asymmetric Laplace models are described and investigated. A more general mixture model is then introduced. Bivariate extensions of these models are discussed in some detail, with particular emphasis on associated parameter estimation strategies. Multivariate versions of the models are briefly introduced.

Modeling with Bivariate Geometric Distributions

We study systems with several components which are subject to different types of failures. Examples of such systems include twin engines of an airplane or the paired organs in a human body. We find that such a system, using conditional arguments, can be characterized as multivariate geometric distributions. We prove that the characterizations of the geometric model can be achieved using conditi...