Given the iid samples X1, X2,... of X, define the sequence Y1, Y2,... by
![](https://test.transtutors.com/qimg/eb8d38cb-493a-495a-a6d1-9b11d7fdc693.png)
Note that each Yk is an example of V'2, an estimate of the variance of X using two samples, given in Theorem 7.11. Show that if E[Xk] n(Y) is a consistent, unbiased estimate of Var[X].
Theorem 7.11
The estimate
![](https://test.transtutors.com/qimg/7ea6835b-5d5a-43a8-bd8b-1f847aaf7890.png)
Is an unbiased estimate of Var[X].