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The stability of pure weights under conditioning

Published online by Cambridge University Press:  18 May 2009

D. J. Foulis  and
C. H. Randall
D. J. Foulis
Affiliation:
University of Massachusetts, Amherst, Mass. 01002
C. H. Randall
Affiliation:
University of Massachusetts, Amherst, Mass. 01002
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 1 , March 1974 , pp. 5 - 12
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

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