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Uniform distrib-n bias

  1. Jan 21, 2007 #1
    1. The problem statement, all variables and given/known data
    show that [(n+1)X(n)/n]2 is not an unbiased estimate of theta2 in unform distribution U[0,theta]

    X(n) is the order statistic

    The attempt at a solution

    I was going to take E{[(n+1)X(n)/n]2} split it as
    E[((n+1)/2)2] * E[X(n)2] and then show that it does not equal to theta2.
    Could some one please confirm if this is correct? or help me out with the direction?
  2. jcsd
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