Boolean Valued Representation of Random Sets and Markov Kernels with Application to Large Deviations

We establish a connection between random set theory and Boolean valued analysis by showing that random Borel sets, random Borel functions, and Markov kernels are respectively represented by Borel sets, Borel functions, and Borel probability measures in a Boolean valued model. This enables a Boolean...

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Bibliographic Details
Main Authors: Antonio Avilés López, José Miguel Zapata García
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/10/1848