Affinity and Continuity of Credal Set Operator

Conference Paper (international conference)

Kroupa Tomáš

serial: Proceedings of the 6th International Symposium on Imprecise Probability: Theories and Applications , Eds: Augustin Thomas, Coolen Frank P.A., Moral Serafin, Troffaes Matthias C.M.

action: ISIPTA '09, (Durham, GB, 14.07.2009-18.07.2009)

research: CEZ:AV0Z10750506

project(s): 1M0572GA MŠk, GA201/09/1891GA ČR

keywords: credal set, coherent lower prevision, superdifferential

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abstract (eng):

The credal set operator is studied as a set-valued mapping that assigns the set of dominating probabilities to a coherent lower prevision on some set of gambles. In particular, the conditions guaranteeing its affinity and continuity are identified.

abstract (cze):

V práci jsou studovány vlastnosti operátoru, který přiřazuje koherentní dolní pravděpodobnosti množinu dominovaných pravděpodobností na libovolné třídě sázek.

RIV: BA