Conjunction, Disjunction and Iterated Conditioning of Conditional Events

摘要: Starting from a recent paper by S. Kaufmann, we introduce notion of conjunction two conditional events and then analyze it in the setting coherence. We give representation conjoined show that this new object is random quantity, whose set possible values normally contains probabilities assessed for events. examine some cases logical dependencies, where event; moreover, lower upper bounds on conjunction. also an apparent paradox concerning stochastic independence which can actually be explained terms uncorrelation. briefly notions disjunction iterated conditioning usual probabilistic properties still hold.