Abstract:We study two specific mappings defined on the class of infinitely divisible distributions on Z + with finite log-moments. As a consequence, we re-derive some known stochastic integral representations for Fselfdecomposable distributions and obtain some new ones for F-semi-selfdecomposable distributions. Stochastic integral representations for discrete distributions in nested subclasses of F-selfdecomposable and F-semi-selfdecomposable distributions are established via the iterates of the aforementioned mappings. Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.