Hi, if someone could take a look through and help me on this problem it would me much appreciated.
Note all the following distributions have sample size 9.
Let and .
We then form the following distributions:
In each of the above cases work out the sampling distribution of the estimator, explain whether it's unbiased and give the standard error.
Here's what I've managed to do so far:
Using the fact that , and with a sample size of 9, we can then get the sampling distributions of the 3 estimators:
I think these are right, please correct me if I've made a mistake somewhere.
Now the standard error of the estimator is , giving us
I think this is correct up to here. The only thing I'm really stuck on is how to find whether they are biased or unbiased?
Thanks in advance