1
$\begingroup$

Assume $X_1,X_2,\ldots,X_m$ are independent and follow a binomial distribution with parameters $p$ and $n$, where $p$ is unknown. An unbiased estimator for the variance $\operatorname{Var}(X_i) = np(1-p)$ is given by $\hat{V}=\frac{\sum_{i=1}^m (X_i-\hat{\mu})^2}{m-1}$ with $\hat{\mu}=\frac{\sum_{i=1}^m X_i}{m}$. What is the variance of $\hat{V}$ in terms of $p$, $n$, and $m$?

$\endgroup$

closed as off-topic by Did, Rolf Hoyer, Harambe, Claude Leibovici, JonMark Perry Nov 8 '17 at 8:26

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, Rolf Hoyer, Harambe, Claude Leibovici, JonMark Perry
If this question can be reworded to fit the rules in the help center, please edit the question.