Convergence and existence of random set distributions
type: Item
instance of: scholarly article
title: Convergence and existence of random set distributions
zbMATH Open document ID: 0545.60021
author: Tommy Norberg
published in: The Annals of Probability
publication date: 1984-01-01T00:00:00Z
review text: In this paper the relation between distributions of random closed sets and their hitting functions is studied. In particular a sequence of random sets converges in distribution iff the corresponding sequence of hitting functions converges on some sufficiently large class of bounded Borel sets. This class may be chosen to be countable.
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 60G99
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 3868322
zbMATH Keywords: infinite divisibility
zbMATH Keywords: random closed sets
zbMATH Keywords: hitting functions
reviewed by: Lars Holst
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176993223
OpenAlex ID: W2019387383
DOI: 10.1214/AOP/1176993223
description: scientific article; zbMATH DE number 3868322