Limit theorems for Dempster's rule of combination
type: Item
instance of: scholarly article
title: Limit theorems for Dempster's rule of combination
zbMATH Open document ID: 0675.60003
DOI: 10.1007/BF00133167
author: S. H. Smith
published in: Theory and Decision
publication date: 1988-01-01T00:00:00Z
review text: The theory of Markov chains is used for the description of \textit{A. P. Dempster}'s rule [see Ann. Math. Stat. 38, 325-339 (1967; Zbl 0168.175)]. It is shown that each application of the rule corresponds to a transformation in a Markov chain. This representation is applied to the proof of a limit theorem concerning the long term effect of updating belief functions in Dempster's rule. The proposed approach may be useful for other considerations in Dempster's theory of evidence.
Mathematics Subject Classification ID: 60A99
Mathematics Subject Classification ID: 60J20
zbMATH DE Number: 4105935
zbMATH Keywords: updating belief functions
zbMATH Keywords: Dempster's theory of evidence
reviewed by: Krzysztof Piasecki
MaRDI profile type: Publication
cites work: Upper and Lower Probabilities Induced by a Multivalued Mapping
cites work: Q3657935
cites work: Q5538132
cites work: Q3697016
cites work: Q3238703
cites work: On random sets and belief functions
cites work: Allocations of probability
full work available at URL: https://doi.org/10.1007/bf00133167
OpenAlex ID: W2061118355
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description: scientific article; zbMATH DE number 4105935