7Parameter Estimation
7.1 Maximum Likelihood Estimation (MLE)
ML estimation is based on the maximization of the pdf associated to the observations with respect to the model parameters:
as is graphically shown in Figure 7.1 illustrating (for a simple case) the different pdfs obtained by changing the parameters , or the likelihood function for the observation and the corresponding that maximizes the likelihood as the value of the parameter in the set } that makes the specific observation maximally likely for the parametric pdf .
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