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| Takashi Ui and Atsushi Kajii |
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| ''Equivalence of the Dempster-Shafer rule and the maximum likelihood rule implies convexity'' |
| ( 2005, Vol. 4 No.10 ) |
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| 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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| Keywords: |
JEL: D8 - Information, Knowledge, and Uncertainty: General
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| Manuscript Received : Sep 09 2005 | | Manuscript Accepted : Sep 09 2005 |
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