# Variance of unbiased variance estimator for binomial distribution [closed]

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 $m$?

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

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