where x = l , 2, . . . ; r > 0 , a > I (ar a + r > 0 , (a)~=a(a+l)...(a-kx--1), and r log F(z)/dz is the digamma or the psi function. The distribution (1.1) will be referred to as DGa (a, r). In this paper we extend DGa (a, r) to a multivariate distribution. The digamma distribution is closely related to the logarithmic series distribution LSr (0) defined by (1.2) P r [ X = x ; 0 ] = 0 ~ / ( l ...

In this paper, I consider multivariate analogues of the extended gamma density, which will provide multivariate extensions to Tsallis statistics and superstatistics. By making use of the pathway parameter β, multivariate generalized gamma density can be obtained from the model considered here. Some of its special cases and limiting cases are also mentioned. Conditional density, best predictor f...