# Thread: Maximum Likeilhood Estimation Problem

1. ## Maximum Likeilhood Estimation Problem

Let Yı, Y2, ... , Yn denote a random sample from the probability density function

f(y; ) = (+1)y^ , 0 < y < 1 , -1 <
and 0 elsewhere

find the MLE for

Ok, I'm new to this but I managed to do something, just not sure if it is right

L() = product of (+1)y^ n times (from 1 to n)

ln (L()) = n*ln(+1) + *sum of ln(y) (from 1 to n)

I differentiate and put that equal to zero and get:

= -n/(ln(y^n))

Do you think this is the correct answer?

2. You should get $\hat{\theta_{MLE}}=-\frac{n}{\sum ln(y)}-1$

3. Yes thank you, I oversaw that 1 there

but otherwise, you think I got it right?

4. Yes, apart from the little calculation-mistake,it was alright.