Probability & Stats: Finding a unique MVUE?

[fireb]

Homework Statement

Consider X(1)...X(n) IID X~ Poisson(lambda=lnQ), x=0,1,2..., Q >1

Find the Unique MVUE for lnQ?

Homework Equations

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

 

[lanedance]

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