IS there a question here?
They both are unbiased.
BY inspection
Since the coefficients sum to one, both are unbiased.
Next you should obtain the variances and see that the sample mean has a smaller variance.
where n=3.
and
Q: Suppose that denote a random sample from an exponential distribution with density function
for and otherwise.
Consider that following estimators of .
Note: both thetas directly above should have hats on them.
I completely stuck on this one. Do I figure the distribution of each function of theta hat and then take the expectation?
Help getting started on either one would be great.
Thank you
IS there a question here?
They both are unbiased.
BY inspection
Since the coefficients sum to one, both are unbiased.
Next you should obtain the variances and see that the sample mean has a smaller variance.
where n=3.
and