this was just posted and solved
1 no need to take the log
2 you need the indicator function
3 calc will not work, you need comment sense, to maximize wrt THETA.
But go search for this problem in the threads here.
Suppose that constitute a random sample from the density function
for and zero elsewhere, where is an unknown, positive constant.
Q: Find an estimator for for by the method of maximum likelihood.
A: Consider the likelyhood function .
Thus, the partial derivative with respect to equals .
So, I am doing something wrong, because this attmept is a dead end.
Before I look in the other thread, I think I found the solution. Looking the function, wouldn't the max value be given by the minimum order statistic? I think I figured it out using the indicator function.
Sorry again, I will look through the threads before posting next time.