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For questions that use the method of maximum likelihood for estimating the parameters of a statistical model with given data.

3 votes
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Computing the likelihood function

$L(x;\theta)=\prod_{i=1}^{n}f(x_i)$ is the correct formula for the likelihood when the underlying distribution has a density. The $n_1$ and $n_2$ are defined as $n_1=\operatorname{Card}\left(\left\{i\ …
Davide Giraudo's user avatar
2 votes

Estimate unknown parameter by maximum likelihood method and moment's method

You wrote under "Moments" what should be the maximum likelihood approach and conversely. In both cases, the estimator should be a function of the sample hence your approach cannot work. However, yo …
Davide Giraudo's user avatar