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Interpretation of Bayes
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Enter Mr. Bayes
Interpretation of Bayes Formulation of Likelihood---I
Consider Equation (14)
(
) We can ignore
because it is independent of
and fixed for our given
and
T
.
This has the practical consequence that the likelihood is never normalized sensibly.
(
)
philosophically represents a priori knowledge of
before experiment (measurement of
) performed.
This is shaky---not just because we don't really know how to define what
(``given
T
'') means
but, for instance, suppose we wish to parameterize the simplest idea---``complete ignorance'' of
before experiment performed.
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu