Is the additional "a" mean that different priors may lead to different posterior, MAP is a result of many possible results? And similar to MLE, why the abbreviation of maximum a posterior estimation is MAP, not MPE or MAPE? Thanks
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4Note that "MPE" usually refers to the Mean Percentage Error, and [tag:mape] to the Mean Absolute Percentage Error. – Stephan Kolassa Nov 24 '21 at 07:09
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The phrase a posteriori is from Latin, the sort of Latin phrase that used to appear in educated British English. Along with a priori, it was already in use in philosophy/logic in a slightly different sense before it got used in statistics. There's not really any significance to the a, just history.
Thomas Lumley
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5+1. [Here is Wikipedia on *a priori* and *a posteriori*.](https://en.wikipedia.org/wiki/A_priori_and_a_posteriori) – Stephan Kolassa Nov 24 '21 at 07:10