Difference between likelihood and joint distribution
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The parameters are regarded as fixed values (even though they are unknown). So you should think of the joint distribution as just a function of the 'n' observations. That’s why we separate the parameters by a semicolon instead of a comma.
But you actually know the observations, because you have observed them. So after collecting your data you are left with a function of the 'k' parameters. That’s the likelihood.
Hopes it is ' ok '
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