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To me, it will require a distributional assumption to the given data, otherwise we cannot define likelihood function. I feel this way, but I want to be sure if I am correct or not.

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    yes it requires you to assume a distribution and estimate it's parameters to maximize the likelihood to obserse your dataset under the hypothesis that your data follows the assumed distribution2017-01-24
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    Yes it requires a finite dimensional (finite parameters) distribution assumption but this can be as general as want.2017-01-24
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    Thank you for the comments. Just one more thing that have come across, we can also use MLE for non-parametric with no distributional assumption, right?2017-01-24

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