Consider S2, the estimator of 2, from Exercise 9.29.
Chapter 1, Problem 9.30(choose chapter or problem)
Consider \(S’^{2}\), the estimator of \(\sigma^2\), from Exercise 9.29. Analysts often use \(S’^{2}\) rather than dividing \(\sum _{i=1} ^n (X_i-\overline{X})^2\) by n - 1, the degrees of freedom in the sample.
(a) What is the bias of \(S’^{2}\)?
(b) Show that the bias of \(S’^{2}\) approaches zero as \(n \rightarrow \infty\).
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