Maximum likelihood estimate
Maximum likelihood estimate (MLE) is a method that is used to estimate the probability distribution parameters of a population from the available sample data. MLE methods can also be considered as a Bayesian alternative.
Probability distribution gives the probability of observing a data point given distribution parameters such as mean, standard deviation, and degree of freedom.
The probability of data point given distribution parameters is expressed as Prob(X|µ,α) -------1.
MLE deals with the inverse problem. It is used to find the most likely values of distribution parameters given the set of data points. For that purpose, another statistic called likelihood is defined. The likelihood is defined as the probability ...
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