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Homework Help: Probability & Stats: Finding a unique MVUE?

  1. Aug 7, 2010 #1
    1. The problem statement, all variables and given/known data
    Consider X(1)...X(n) IID X~ Poisson(lambda=lnQ), x=0,1,2...., Q >1

    Find the Unique MVUE for lnQ?

    2. Relevant equations

    3. The attempt at a solution

    i let T=sum(x), which is sufficient
    and lnQ*=sum(x)/n be an unbiased estimator for lnQ

    Not really sure how to show T is complete statistic and use it to find UMVE.

    Any help will be appreciated

    Thanks in advance
  2. jcsd
  3. Aug 8, 2010 #2


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    Homework Helper

    can you show it is U & efficient, then look at the cramer lower bound to show it is MV

    or something along those lines... don't have a text handy
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