AbstractIn 1937, Paul Lévy proved two theorems that characterize one-dimensional distribution functions of class L. In 1972, Urbanik generalized Lévy's first theorem. In this note, we generalize Lévy's second theorem and obtain a new characterization of Lévy probability distribution functions on Euclidean spaces. This result is used to obtain a new characterization of operator stable distribution functions on Euclidean spaces and to show that symmetric Lévy distribution functions on Euclidean spaces need not be symmetric unimodal
AbstractSubclasses L0 ⊃ L1 ⊃ … ⊃ L∞ of the class L0 of self-decomposable probability measures on a B...
A theorem is proved that characterizes multivariate distribution functions of class L. This theorem ...
The notion of $L^p$-distributions is introduced on Riemannian symmetric spaces of noncompact type an...
AbstractIn 1937, Paul Lévy proved two theorems that characterize one-dimensional distribution functi...
AbstractSeveral theorems are obtained concerning the unimodality of spherically symmetric distributi...
AbstractOperator-stable laws and operator-semistable laws (introduced as limit distributions by M. S...
AbstractStrictly operator-stable distributions are defined and discussed. Characterization of strict...
AbstractLα (0 ≦ α ≦ 1) is a class of infinitely divisible distributions defined by restricting the m...
AbstractSuppose X and Y are n × 1 random vectors such that l′X + f(l) and l′Y have the same marginal...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
AbstractAn n-dimensional random vector X is said (Cambanis, S., Keener, R., and Simons, G. (1983). J...
This paper studies random vectors X featuring symmetric distributions in that i) the order of the ra...
AbstractIt is shown that every genuinely d-dimensional operator-self-decomposable distribution is ab...
AbstractIn this paper we present the complete description of surjective isometries of the space of a...
AbstractFor any class Q of distributions on Rd, let L(Q) be the class of limit distributions of bn−1...
AbstractSubclasses L0 ⊃ L1 ⊃ … ⊃ L∞ of the class L0 of self-decomposable probability measures on a B...
A theorem is proved that characterizes multivariate distribution functions of class L. This theorem ...
The notion of $L^p$-distributions is introduced on Riemannian symmetric spaces of noncompact type an...
AbstractIn 1937, Paul Lévy proved two theorems that characterize one-dimensional distribution functi...
AbstractSeveral theorems are obtained concerning the unimodality of spherically symmetric distributi...
AbstractOperator-stable laws and operator-semistable laws (introduced as limit distributions by M. S...
AbstractStrictly operator-stable distributions are defined and discussed. Characterization of strict...
AbstractLα (0 ≦ α ≦ 1) is a class of infinitely divisible distributions defined by restricting the m...
AbstractSuppose X and Y are n × 1 random vectors such that l′X + f(l) and l′Y have the same marginal...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
AbstractAn n-dimensional random vector X is said (Cambanis, S., Keener, R., and Simons, G. (1983). J...
This paper studies random vectors X featuring symmetric distributions in that i) the order of the ra...
AbstractIt is shown that every genuinely d-dimensional operator-self-decomposable distribution is ab...
AbstractIn this paper we present the complete description of surjective isometries of the space of a...
AbstractFor any class Q of distributions on Rd, let L(Q) be the class of limit distributions of bn−1...
AbstractSubclasses L0 ⊃ L1 ⊃ … ⊃ L∞ of the class L0 of self-decomposable probability measures on a B...
A theorem is proved that characterizes multivariate distribution functions of class L. This theorem ...
The notion of $L^p$-distributions is introduced on Riemannian symmetric spaces of noncompact type an...