Difference between revisions of "A posteriori probability"
From Encyclopedia of Mathematics
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| − | The conditional probability of an event taking place under certain conditions, to be contrasted with its unconditional or [[A priori probability|a priori probability]]. There is no difference between the meaning of the terms | + | The conditional probability of an event taking place under certain conditions, to be contrasted with its unconditional or [[A priori probability|a priori probability]]. There is no difference between the meaning of the terms "conditional" and "a posteriori". The former term is employed if the condition itself is hypothetical and is not directly observed in the course of the experiment. The latter term is employed if it is desired to stress that the condition in question is actually observed. The a posteriori probability is connected with the a priori probability by the [[Bayes formula|Bayes formula]]. |
Latest revision as of 12:04, 27 October 2014
of an event
The conditional probability of an event taking place under certain conditions, to be contrasted with its unconditional or a priori probability. There is no difference between the meaning of the terms "conditional" and "a posteriori". The former term is employed if the condition itself is hypothetical and is not directly observed in the course of the experiment. The latter term is employed if it is desired to stress that the condition in question is actually observed. The a posteriori probability is connected with the a priori probability by the Bayes formula.
How to Cite This Entry:
A posteriori probability. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=A_posteriori_probability&oldid=34100
A posteriori probability. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=A_posteriori_probability&oldid=34100
This article was adapted from an original article by Yu.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article