Web Reference: In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed data. This is achieved by maximizing a likelihood function so that, under the assumed statistical model, the observed data is most probable. Jul 27, 2025 · Maximum likelihood estimation (MLE) is an important statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function. There are two main approaches: Maximum Likelihood Estimation (MLE) and Maximum A Posteriori (MAP). Both of these approaches assume that your data are IID samples: X1; X2; Xn where all Xi are independent : : : and have the same distribution.
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