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I 110
Bayes Theorem/Schurz: Its importance lies in cases where one is mainly interested in w(Ai I B) (subjective probability), but only the inverse conditional probability w(B I Ai) is accessible.
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Subjective probability/Schurz , >
Probability/Schurz , >
Probability theory/Schurz .
I 61
Bayes/Bayesianism/Schurz/Basic principle: certain init. prblties must always be assumed.
Indifference principle: the same init. prblties for competing hypotheses.
Vs: the output distributions are language dependent - E.g. a distribution can be indifferent with respect to the wavelength, but in relation to frequency it is no longer indifferent.
I 161
Bayes/Bayesianism/Schurz: Basic principle: certain initial probabilities must always be assumed. However, the initial probability of E can be eliminated if one restricts oneself to comparative hypothesis evaluations.
Indifference principle: the assumption of equal initial probabilities for competing hypotheses.
Likelihood intuition: subjective justification: assuming the indifference principle, the level of likelihood of E given H is an indicator of the subjective probability of H given E.
Vs: this suffers from the fact that the indifference principle itself is problematic:
I 162
Vsindifference principle/Schurz: output distributions are language-dependent! E.g. a distribution indifferent for wavelength (X) is no longer indifferent after conversion to frequency (Y :=1/X)!
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Likelihood/Schurz .