# Maximum liklihood estimators again help

1. Feb 21, 2005

### semidevil

I dotn know, i'm still lost on this whole MLE thing.....but here is my attempt at some problems....please critique(just the concept is still bugging me).

find the MLE:

$$p_x(k;\theta) = \theta^k (1-\theta)^{1-k}, . k = 0, 1, 0 < \theta < 1$$.

so here is what I did.

$$L(\theta) = \theta^{nk} ( 1- \theta)^{{\sum_1^n{n - k}}$$

$$ln L(\theta) = nkln\theta + \sum_1^k 1-k * ln(1-\theta)$$

now, take derivative

$$nk/\theta + \sum_1^k/{1-\theta}$$.

first of all, in geting the formula, is this right? I know I will need to leave it in terms of theta, but I dont know if even this is right??

Last edited: Feb 21, 2005