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Properties Of Estimators Question

  1. Feb 21, 2010 #1
    1. The problem statement, all variables and given/known data
    suppose that 14, 10, 18, 21 constitute a random sample of size 4 drawn from a uniform pdf defined over the interval [0, theta], where theta is unknown. Find an unbiased estimator for theta and y'3, the third order statistic. What numerical value does the estimator have for these particular observations? Is it possible that we would know that an estimate for theta based on y'3 was incorrect, even if we have no idea what the true value of theta might be? explain.

    2. Relevant equations
    I am not entirely sure how to go about solving this problem and help or a kick in the right direction would be great.

    3. The attempt at a solution
    Is the third order statistic 18? isn't the estimator just the summation of all the observations divided by n, the number of samples or observations. Please, any help would be greatly appreciated.
  2. jcsd
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