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Maximum liklihood estimators again help

  1. Feb 21, 2005 #1
    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 dont know if even this is right??
    Last edited: Feb 21, 2005
  2. jcsd
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