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Homework Help: Statistics- unbiased estimator

  1. Feb 28, 2010 #1
    1. The problem statement, all variables and given/known data
    A random sample of size 2, Y1 and Y2, is drawn from the pdf

    fY(y;[tex]\vartheta[/tex])=2y*[tex]\vartheta[/tex]2, 0<y< 1/ [tex]\vartheta[/tex]

    What must c equal if the statistic c(Y1+2Y2) is to be an unbiased estimator for 1 / [tex]\vartheta[/tex]

    2. Relevant equations



    3. The attempt at a solution

    I tried to find the E[c(Y1+2Y2)] but don't really know how to reach 1 / [tex]\vartheta[/tex]

    There is also the equation of the Ymax

    maybe I should set them equal ? but how to get rid of Y1 and Y2 ?

    Thanks.
     
    Last edited: Feb 28, 2010
  2. jcsd
  3. Feb 28, 2010 #2
    oh, I got it :\
     
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