MAP Estimator
Maximum Aposteriori Estimator
(Papolis and Pillai 2014)
Let X be an unknown random variable representing a given phenomena. Y
is a known random variable that represents data collected regarding
the phenomena. MAP Estimator estimates the value of X given the value
of Y.
\[ Xhat_{MAP}(Y) = rgmax_{x}(f_{X}(x)*f_{Y|X}(y|x)\]