Mixed Nomenclature
The phrase a-posteriori probability is also used as an alternative to empirical probability or relative frequency. The use of the phrase "a-posteriori" is reminiscent of terms in Bayesian statistics, but is not directly related to Bayesian inference, where a-posteriori probability is occasionally used to refer to posterior probability, which is different even though it has a confusingly similar name.
The term a-posteriori probability, in its meaning as equivalent to empirical probability, may be used in conjunction with a priori probability which represents a estimate of a probability not based on any observations, but based an deductive reasoning.
Read more about this topic: Empirical Probability
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