Economics Dictionary of ArgumentsHome | |||
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Bayesianism: perceives probability as the degree of a belief. See also subjective probability, objective probability, chance, likelihood._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Gerhard Schurz on Bayesianism - Dictionary of Arguments
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. >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)! >Likelihood/Schurz._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Schu I G. Schurz Einführung in die Wissenschaftstheorie Darmstadt 2006 |