# Compute the Maximum Likelihood Estimator of a pareto Distribution for statistic…

$X_1,...X_n$ iid with $f(x; \theta) = \frac1 \theta(1+x)^{\frac{-\theta +1}\theta}$

For the statistic $T(x) = (X_1,...,X_n)$ (which I guess just means compute the MLE in a general sense for the sample)

I understand how the likelihood function works with this, but I dont understand how I can get the joint distribution of this? I just multiply all the individual distributions together (because they're independent) but I'm still not sure what this looks like.

Any help would be greatly appreciated