Q27Section I (Objective (Q1–Q80))27 of 79

Statistical Inference — MSE of a variance-type estimator

Let $x_1,x_2,…,x_n$ be a random sample from Normal distribution $N(\mu,\sigma^2)$ . The Mean Squared Error (MSE) of the estimator $T=\sum_{i=1}^n(x_i-\bar x)^2$ where $\bar x=\frac{\sum_{i=1}^n x_i}{n}$ for estimating $\sigma^2$ is:

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