Method of moment estimator

1. The problem statement, all variables and given/known data

Let ##X_1, X_2, ..., X_n## be a random sample from ## f_θ=2x/θ^2## , ##0≤x≤θ##.

Find a maximum likelihood estimator for θ. Find the method of moment estimator for θ.





3. The attempt at a solution

I have already found that the MLE is max{##x_i##}. I just need to find the method of moments estimator. My professor hasn't given any examples on this and everything I have found online seems completely different. I would appreciate some guidance on this one!

1. The problem statement, all variables and given/known data







2. Relevant equations







3. The attempt at a solution