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Math Help - estimator for uniform distribution

  1. #1
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    estimator for uniform distribution

    Let T be a sample of size s randomly chosen from independent values from a uniform distribution F=F(y,x) on the interval [0,x], and x is not known to us.
    is estimator i=T(max) will always be sufficient for i?
    is there any way that we can find a unbiased estimator for it
    if not how do we prove it?
    Thank you
    Last edited by fyw891105; March 14th 2010 at 07:50 AM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    By the factorization theorem the largest order stat, i.e., the maximum of your data set is sufficient for i.
    Next find it's density and from that it's expectation.
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