A form of multivariate generalised exponential family of distribution

Abstract

David Sam et.al(2012) proposed a Generalised Multivariate additive exponential distribution and further David Sam et.al(2014) extend the work by proposing Multivariate Generalized double exponential family of distribution of kind-1. In this paper, the authors bring out a family of exponential distributions in a generalized multivariate form which leads to explore more than 25 special cases of generalized multivariate exponential distribution. In subsequent sections, authors proposed distribution and its special cases are discussed.

Subject Classification:

• Primary 62H10
• Secondary 62E15

Keywords:

• Multivariate exponential family
• Generalized Gamma distribution
• bivariate probability surfaces
• generalized and multivariate family of distributions
• transformations