Bayesian probability

Bayesianism is the philosophical tenet that the mathematical theory of probability applies to the degree of plausibility of a statement. This also applies to the degree of believability contained within the rational agents of a truth statement. Additionally, when a statement is used with Bayes' theorem, it then becomes a Bayesian inference.

Related Topics:
Philosophical - Probability - Bayes' theorem - Bayesian inference

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This is in contrast to frequentism, which rejects degree-of-belief interpretations of mathematical probability, and assigns probabilities only to random events according to their relative frequencies of occurrence.

Related Topics:
Frequentism - Interpretations

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The Bayesian interpretation of probability allows probabilities to be assigned to random events, but also allows the assignment of probabilities to any other kind of statement.

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Whereas a frequentist and a Bayesian might both assign a 1/2 probability to the event of getting a head when a coin is tossed, only a Bayesian might assign 1/1000 probability to a personal belief in the proposition that there was life on Mars a billion years ago. This assertion is made without intending to assert anything about relative frequency.

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