Reversing the order of integration in iterated expectations of fuzzy random variables, and statistical applications

DOI10.1016/S0378-3758(98)00100-1zbMath0962.62005OpenAlexW1991922059MaRDI QIDQ1298911

Miguel López-Díaz, María Ángeles Gil Álvarez

Publication date: 19 June 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(98)00100-1

zbMATH Keywords

fuzzy random variableshierarchical modelsfuzzy expected valuemixture distributionsregular conditional probabilityfuzzy utilitiesfuzzy losses

Mathematics Subject Classification ID

Multivariate analysis (62H99) Estimation in multivariate analysis (62H12) Hypothesis testing in multivariate analysis (62H15) Bayesian problems; characterization of Bayes procedures (62C10) Foundations and philosophical topics in statistics (62A01) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Theory of fuzzy sets, etc. (03E72) Statistical decision theory (62C99)

Related Items (12)

A new framework for the Bayesian analysis of single-stage decision problems with imprecise utilities ⋮ Overview on the development of fuzzy random variables ⋮ Influence diagrams with super value nodes involving imprecise information ⋮ Robust scale estimators for fuzzy data ⋮ Some results on convergence and distributions of fuzzy random variables ⋮ Differentiating random upper semicontinuous functions under the integral sign ⋮ Interval-valued quantification of the inequality associated with a random set ⋮ On the exchange of iterated expectations of random upper semicontinuous functions ⋮ Solving influence diagrams with fuzzy chance and value nodes ⋮ Regression and correlation analyses of a linear relation between random intervals ⋮ Admissible and Bayes decisions with fuzzy-valued losses ⋮ Unnamed Item

Cites Work

• A subjective approach for ranking fuzzy numbers
• Integrals, conditional expectations, and martingales of multivalued functions
• Remarks on the set-valued integrals of Debreu and Aumann
• The concept of a linguistic variable and its application to approximate reasoning. I
• Fuzzy conditional expectation
• Constructive definitions of fuzzy random variables
• Fundamentals and Bayesian analyses of decision problems with fuzzy-valued utilities
• Integrals of set-valued functions
• Measurable selections of extrema
• Measurable relations
• A fuzzy-algorithmic approach to the definition of complex or imprecise concepts
• Fuzzy random variables
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