Independence for Full Conditional Measures and their Graphoid Properties
Fábio Gagliardi Cozman, Teddy Seidenfeld · 2008
This paper examines definitions of independence for events and variables in the context of full conditional measures; that is, when conditional probability is a primitive notion and conditioning is allowed on null events. Independence concepts are evaluated with respect to graphoid properties; we show that properties of weak union, contraction and intersection may fail when null events are present.