Bivariate distributions with ordered marginals

Estimation of Linear Functionals of Bivariate Distributions with Parametric Marginals

Recent developments on the construction of bivariate distributions with fixed marginals

Constructing a bivariate distribution with specific marginals and correlation has been a challenging problem since 1930s. In this survey we shall focus on the recent developments on the FGM-related distributions, including Sarmanov and Lee’s distributions, Baker’s distributions and Bayramoglu’s distributions. This complements the most recent works of (i) the review by Sarabia and Gómez-Déniz (2...

A class of bivariate negative binomial distributions with different index parameters in the marginals

Keywords and Phrases: Extension of trivariate reduction Meixner class of polynomials and Srivastava's triple hypergeometric series Canonical expansions and quadrant dependence Mixed Poisson distribution Computer generation of bivariate samples Multivariate extensions and goodness-of-fit a b s t r a c t In this paper, we consider a new class of bivariate negative binomial distributions having ma...

A bivariate INAR(1) time series model with geometric marginals

In this paper we introduce a simple bivariate integer-valued time series model with positively correlated geometric marginals based on the negative binomial thinning mechanism. Some properties of the model are considered. The unknown parameters of the model are estimated using the modified conditional least squares method. © 2011 Elsevier Ltd. All rights reserved.

Worst-Case Expected Shortfall with Univariate and Bivariate Marginals

Worst-case bounds on the expected shortfall risk given only limited information on the distribution of the random variables has been studied extensively in the literature. In this paper, we develop a new worst-case bound on the expected shortfall when the univariate marginals are known exactly and additional expert information is available in terms of bivariate marginals. Such expert informatio...