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The likelihood function

I am confused by this slide. Isn’t the likelihood function is the probability of the observation given the parameter? Why do we have joint distribution as the likelihood in this slide?


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It is just a notation. Only in bayesian statistics do parameters have distributions. Here we don't mean the joint distribution, only that the distribution is parametrized by \(w\) (a semicolon ; should've been used or \(\mid\) ), but I reiterate it is just a notation.

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