|Nov30-09, 01:44 PM||#1|
Help with Unbiased Estimators
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
I have no issues with part A. I simply took the expected value of T1 and T2 and everything turned out fine. What I'm having issues with is part B.
T1 = (4 / n) * 1997 - 2 = 0.08075
T2 = (4 / n) * 32 = 0.03334
Why are my answers so different if they are both unbiased estimators? Shouldn't they at least be somewhat close to each other?
|Nov30-09, 10:50 PM||#2|
Your answers are correct. The expected value of T1 is θ. However, any observed value of T1 may or may not be close to θ.
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