Equivalence of the Dempster-Shafer rule and the maximum likelihood rule implies convexity

It is known that if a capacity is convex then the Dempster-Shafer rule for the capacity is equivalent to the maximum likelihood rule for the core of the capacity. This paper shows that the converse is also true that is, a capacity must be convex if these two rules are equivalent.

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Year of publication:	2005
Authors:	Ui, Takashi ; Kajii, Atsushi
Published in:	Economics Bulletin. - AccessEcon, ISSN 1545-2921. - Vol. 4.2005, 10, p. 1-6
Publisher:	AccessEcon

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Extent:	application/pdf
Type of publication:	Article
Language:	English
Classification:	D8 - Information and Uncertainty
Source:	RePEc - Research Papers in Economics

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