A Multivariate Generalized Double Exponential Family of Distribution of Kind-1

Abstract

This paper proposed a generalization of double exponential family of Sarmanov type Continuous multivariate symmetric probability distribution with reference to a new form of Sam-Solai's Multivariate Generalized double exponential family of distributions from univariate case. Further, we found it's Marginal, Multivariate conditional distributions, generating functions in a closed series expression form and also discussed its special cases. The location, scale and shape parameters played a significance role and it determines the family of some existing known and familiar Bivariate, mixtures of bivariate distributions, Generalized and multivariate distributions as subclass of the proposed multivariate generalized double exponential family of distribution.