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- W3104683422 abstract "The probability statement P(A | B) = p has a very different meaning from the logical statement “B implies A with certainty p”. The logical statement means that whenever B is true then A is true with certainty p. This applies regardless of any other information we may have. In other words, it is modular. But the probability statement is not modular: it applies when the only thing we know is B. If anything else is known, e.g. C, than we must refer to P(A | B, C) instead. The only exception is when we can prove that C is conditionally independent of A given B, so that P(A | B, C) = P(A | B)." @default.
- W3104683422 created "2020-11-23" @default.
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- W3104683422 date "1998-07-07" @default.
- W3104683422 modified "2023-09-27" @default.
- W3104683422 title "Nuances of Probability Theory" @default.
- W3104683422 hasPublicationYear "1998" @default.
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