A quasi-infinitely divisible distribution on $\mathbb {R} $ is a probability distribution whose
characteristic function allows a Lévy–Khintchine type representation with a “signed Lévy …

To each hyperbolic Landau level of the Poincaré disc is attached a generalized negative
binomial distribution. In this paper, we compute the moment generating function of this …

We consider discrete probability laws on the real line, whose characteristic functions are
separated from zero. This class includes arbitrary discrete infinitely divisible laws and lattice …

We show that a Cramér–Wold device holds for infinite divisibility of Z d-valued distributions,
ie that the distribution of a Z d-valued random vector X is infinitely divisible if and only if the …

We study a new class of so-called quasi-infinitely divisible laws, which is a wide natural
extension of the well-known class of infinitely divisible laws through the Lévy–Khinchin …

This work is divided in three parts. First, we introduce quasi-infinitely divisible (QID) random
measures and formulate spectral representations. Second, we introduce QID stochastic …

We consider the class of quasi-infinitely divisible distributions. These distributions have
appeared before in the theory of decompositions of probability laws, and nowadays they …

We consider distributions on $\mathbb {R} $ that can be written as the sum of a non-zero
discrete distribution and an absolutely continuous distribution. We show that such a …

An infinitely divisible distribution on is a probability measure μ such that the characteristic
function has a Lévy–Khintchine representation with characteristic triplet, where ν is a Lévy …

A quasi-infinitely divisible distribution on ℝ d R^ d is a probability distribution μ on ℝ d R^ d
whose characteristic function can be written as the quotient of the characteristic functions of …