AbstractSimple conditions are given which characterize the generating function of a nonnegative multivariate infinitely divisible random vector. Necessary conditions on marginals, linear combinations, tail behavior, and zeroes are discussed, and a sufficient condition is given. The latter condition, which is a multivariate generalization of ordinary log-convexity, is shown to characterize only certain products of univariate infinitely divisible distributions
Certain families of probability distribution functions maintain their infinite divisibility under re...
AbstractA theorem is proved that characterizes multivariate distribution functions of class L. This ...
AbstractA method is given for testing the independence of variates in an infinitely divisible random...
Simple conditions are given which characterize the generating function of a nonnegative multivariate...
Infinitely divisible random variables have distributions that can be written as sums of countably ma...
A particular class of multivariate negative binomial distributions has probability generating functi...
We consider nonnegative infinitely divisible random variables whose Levy measures are either absolut...
A theorem is proved that characterizes multivariate distribution functions of class L. This theorem ...
AbstractA particular class of multivariate negative binomial distributions has probability generatin...
A method is given for testing the independence of variates in an infinitely divisible random vector ...
AbstractA class of multivariate distributions that are mixtures of the positive powers of a max-infi...
AbstractA particular class of p-dimensional exponential distributions have Laplace transforms |I + V...
Classes of multivariate and cone valued infinitely divisible Gamma distributions are introduced. Par...
"In the first part of this paper we prove a theorem relating the asymptotic behavior of a multivaria...
We describe a general class of multivariate infinitely divisible distributions and their related sto...
Certain families of probability distribution functions maintain their infinite divisibility under re...
AbstractA theorem is proved that characterizes multivariate distribution functions of class L. This ...
AbstractA method is given for testing the independence of variates in an infinitely divisible random...
Simple conditions are given which characterize the generating function of a nonnegative multivariate...
Infinitely divisible random variables have distributions that can be written as sums of countably ma...
A particular class of multivariate negative binomial distributions has probability generating functi...
We consider nonnegative infinitely divisible random variables whose Levy measures are either absolut...
A theorem is proved that characterizes multivariate distribution functions of class L. This theorem ...
AbstractA particular class of multivariate negative binomial distributions has probability generatin...
A method is given for testing the independence of variates in an infinitely divisible random vector ...
AbstractA class of multivariate distributions that are mixtures of the positive powers of a max-infi...
AbstractA particular class of p-dimensional exponential distributions have Laplace transforms |I + V...
Classes of multivariate and cone valued infinitely divisible Gamma distributions are introduced. Par...
"In the first part of this paper we prove a theorem relating the asymptotic behavior of a multivaria...
We describe a general class of multivariate infinitely divisible distributions and their related sto...
Certain families of probability distribution functions maintain their infinite divisibility under re...
AbstractA theorem is proved that characterizes multivariate distribution functions of class L. This ...
AbstractA method is given for testing the independence of variates in an infinitely divisible random...