Weak convergence of probability measures to Choquet capacity functionals

DOI10.3906/mat-1705-106zbMath1424.60001OpenAlexW2884843336MaRDI QIDQ5742719

Dietmar Ferger

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a470321495807b836cd08962118648fb3a13137b

zbMATH Keywords

weak convergenceFell topologyChoquet capacityrandom closed setupper Vietoris topology

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Hyperspaces in general topology (54B20) Convergence of probability measures (60B10)

Cites Work

• Mathematical statistics. Essays on history and methodology
• Convergence and existence of random set distributions
• On the upper semicontinuity of Choquet capacities
• Narrow and vague convergence of set functions
• Relative compactness for capacities, measures, upper semicontinuous functions and closed sets
• Sequences of capacities, with connections to large-deviation theory
• Choquet weak convergence of capacity functionals of random sets
• Semiconvergence in distribution of random closed sets with application to random optimization problems
• Topology and measure
• On the Convergence in Distribution of Measurable Multifunctions (Random Sets) Normal Integrands, Stochastic Processes and Stochastic Infima
• Foundations of Modern Probability
• Variational Analysis
• An Introduction to Random Sets
• Theory of Random Sets
• Set-valued analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak convergence of probability measures to Choquet capacity functionals