The stability of pure weights under conditioning

David J. Foulis, Charles H. Randall · Glasgow Mathematical Journal · 1974

In [1], we showed how a collection of physical operations or experiments could be represented by a nonempty set of nonempty sets satisfying certain conditions (irredundancy and coherence) and we called such sets . We also introduced “complete stochastic models” for the empirical universe of discourse represented by such a manual , namely, the so-called weight functions for . These weight functions form a convex set the extreme points of which are called pure weights. We also showed that there is a so-called logic ∏( ) affiliated with a manual and that each weight function for induces a state on this logic.

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