- #1
semidevil
- 157
- 2
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:
[tex] p_x(k;\theta) = \theta^k (1-\theta)^{1-k}, . k = 0, 1, 0 < \theta < 1 [/tex].
so here is what I did.
[tex] L(\theta) = \theta^{nk} ( 1- \theta)^{{\sum_1^n{n - k}} [/tex]
[tex] ln L(\theta) = nkln\theta + \sum_1^k 1-k * ln(1-\theta) [/tex]
now, take derivative
[tex] nk/\theta + \sum_1^k/{1-\theta} [/tex].
first of all, in geting the formula, is this right? I know I will need to leave it in terms of theta, but I don't know if even this is right??
find the MLE:
[tex] p_x(k;\theta) = \theta^k (1-\theta)^{1-k}, . k = 0, 1, 0 < \theta < 1 [/tex].
so here is what I did.
[tex] L(\theta) = \theta^{nk} ( 1- \theta)^{{\sum_1^n{n - k}} [/tex]
[tex] ln L(\theta) = nkln\theta + \sum_1^k 1-k * ln(1-\theta) [/tex]
now, take derivative
[tex] nk/\theta + \sum_1^k/{1-\theta} [/tex].
first of all, in geting the formula, is this right? I know I will need to leave it in terms of theta, but I don't know if even this is right??
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