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

Takashi Ui and Atsushi Kajii

Economics Bulletin, 2005, vol. 4, issue 10, 1-6

Abstract: 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.

JEL-codes: D8 (search for similar items in EconPapers)
Date: 2005-09-09
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