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 .
Figure 7.1 Illustration of MLE for and .
Starting from ...
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