Random sets as imprecise random variables
From MaRDI portal
Publication:555822
DOI10.1016/j.jmaa.2004.10.022zbMath1077.60011OpenAlexW2018204318MaRDI QIDQ555822
Publication date: 10 June 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.022
Geometric probability and stochastic geometry (60D05) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Fuzzy real analysis (26E50)
Related Items (15)
Higher order models for fuzzy random variables ⋮ A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability ⋮ Nonspecificity for infinite random sets of indexable type ⋮ Imprecise random variables, random sets, and Monte Carlo simulation ⋮ Upper and lower conditional probabilities induced by a multivalued mapping ⋮ Random sets, copulas and related sets of probability measures ⋮ A continuity theorem for cores of random closed sets ⋮ Three-way decisions space and three-way decisions ⋮ Upper and lower probabilities induced by a fuzzy random variable ⋮ Mark-recapture techniques in statistical tests for imprecise data ⋮ Approximations of upper and lower probabilities by measurable selections ⋮ Complementary Lipschitz continuity results for the distribution of intersections or unions of independent random sets in finite discrete spaces ⋮ Joint propagation of probability and possibility in risk analysis: towards a formal framework ⋮ Geometric views on conflicting mass functions: from distances to angles ⋮ Upper Probabilities Attainable by Distributions of Measurable Selections
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lower previsions induced by multi-valued mappings
- Statistics with vague data
- Representation of fuzzy measures through probabilities
- Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
- On random sets and belief functions
- Non-additive measure and integral
- Extreme points of credal sets generated by 2-alternating capacities
- Equally distributed correspondences
- Random intervals as a model for imprecise information
- Cores of convex games
- When fuzzy measures are upper envelopes of probability measures
- Law of Large Numbers for Random Sets and Allocation Processes
- Upper Probabilities Attainable by Distributions of Measurable Selections
- On measurable relation
- Measurable relations
- Upper and Lower Probabilities Induced by a Multivalued Mapping
This page was built for publication: Random sets as imprecise random variables