Imprecise distribution function associated to a random set

DOI10.1016/S0020-0255(03)00192-0zbMath1043.60011MaRDI QIDQ1827147

Yanyan Li

Publication date: 6 August 2004

Published in: Information Sciences (Search for Journal in Brave)

zbMATH Keywords

Distribution functionRandom setDempster's upper and lower probabilitiesSets of probability measures

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Knowledge representation (68T30)

Related Items (7)

Higher order models for fuzzy random variables ⋮ Bootstrap analysis of multiple repetitions of experiments using an interval-valued multiple comparison procedure ⋮ Bivariate p-boxes and Maxitive Functions ⋮ 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 ⋮ Connecting Interval-Valued Fuzzy Sets with Imprecise Probabilities

Cites Work

• Statistics with vague data
• Remarks on the set-valued integrals of Debreu and Aumann
• On random sets and belief functions
• On the variance of fuzzy random variables
• Constructive definitions of fuzzy random variables
• On the variance of random sets
• Interval-valued quantification of the inequality associated with a random set
• The \(\vec \lambda\)-mean squared dispersion associated with fuzzy random variable
• Integrals of set-valued functions
• Measurable relations
• Upper and Lower Probabilities Induced by a Multivalued Mapping
• Upper and Lower Probabilities Generated by a Random Closed Interval
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