# MLE and Gamma Distribution for econometrics class

#### ozzozo

##### New Member
Here's an upload of the question, we haven't really covered this material in class

a) My log-like = -a*n ln (b+xi) - n*ln Γ(a) + n*(a-1) ln yi - (yi/(b+xi))

I can get dl/db, but not dl/da

b) I get the solution b=-xi, but that doesn't seem right. I cannot get a solution for a.

My algebra's a little rusty, can you transform SUM(b+xi) into n(b+xi)?

Thanks

#### BGM

##### TS Contributor
If you have $$n$$ sample $$X_1, X_2, ..., X_n$$, then the likelihood is the joint pdf but not only the marginal pdf for $$X_i$$

There is no closed form solution for the MLE of $$\alpha$$