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Maximum liklihood estimator

  1. May 15, 2014 #1
    1. The problem statement, all variables and given/known data
    y=x+z
    where the pdf of z is exp(-v-2) for v >= 2 and 0 otherwise and x is just an unknown constant

    what is the MLE of z which maximizes the condition density f_v(y-x)


    2. Relevant equations



    3. The attempt at a solution
    f_v(y-x) = integral of -2+x to infinity of exp(-y+x-2) dy = exp(2x) but maximizing this would mean x = infinity?
     
    Last edited: May 15, 2014
  2. jcsd
  3. May 15, 2014 #2

    haruspex

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    Do you mean "integral from -2+x to infinity of exp(-y+x-2) dy"? I don't get e2x for that.
     
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