In this paper we introduce an asymmetric counterpart of decomposable independence models, motivated by stochastic cs-independence in the context of coherent conditional probability which is generally not symmetric. We provide a full algebraic characterization of this class of models and we show they are completely representable by means of persegrams. Finally, decomposition of a coherent conditional probability according to a persegram is presented.
Asymmetric decomposability and persegram representation in coherent conditional probability theory / Petturiti, Davide. - In: SOFT COMPUTING. - ISSN 1432-7643. - 17:11(2013), pp. 2131-2145. [10.1007/s00500-013-0998-6]
Asymmetric decomposability and persegram representation in coherent conditional probability theory
PETTURITI, DAVIDE
2013
Abstract
In this paper we introduce an asymmetric counterpart of decomposable independence models, motivated by stochastic cs-independence in the context of coherent conditional probability which is generally not symmetric. We provide a full algebraic characterization of this class of models and we show they are completely representable by means of persegrams. Finally, decomposition of a coherent conditional probability according to a persegram is presented.| File | Dimensione | Formato | |
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