Conjunction, Disjunction and Iterated Conditioning of Conditional Events

@inproceedings{Gilio2012ConjunctionDA,
  title={Conjunction, Disjunction and Iterated Conditioning of Conditional Events},
  author={Angelo Gilio and Giuseppe Sanfilippo},
  booktitle={SMPS},
  year={2012}
}
Starting from a recent paper by S. Kaufmann, we introduce a notion of conjunction of two conditional events and then we analyze it in the setting of coherence. We give a representation of the conjoined conditional and we show that this new object is a conditional random quantity, whose set of possible values normally contains the probabilities assessed for the two conditional events. We examine some cases of logical dependencies, where the conjunction is a conditional event; moreover, we give… CONTINUE READING

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