Random Sum of Mixtures of Sum of Bivariate Exponential 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...

A class of bivariate exponential distributions

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...

On Some Properties of Bivariate Exponential Distributions

On Some Properties of Bivariate Exponential Distributions Qi-Ming He a , Hanqin Zhang b c & Juan C. Vera d a Department of Management Sciences, University of Waterloo, Waterloo, Ontario, Canada b Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, P.R. China c NUS Business School, Singapore d Department of Econometrics and Operatio...

A class of continuous bivariate distributions with linear sum of hazard gradient components

*Correspondence: [email protected] Department of Statistics, University of São Paulo, São Paulo, Brazil Abstract The main purpose of this article is to characterize a class of bivariate continuous non-negative distributions such that the sum of the components of underlying hazard gradient vector is a linear function of its arguments. It happens that this class is a stronger version of the ...

Mordell’s Exponential Sum Estimate Revisited