Compare S2 and S2 (see Exercise 9.29), thetwo estimators
Chapter 1, Problem 9.33(choose chapter or problem)
Compare \(S^2\) and \(S’^{2}\) (see Exercise 9.29), the two estimators of \(\sigma^2\), to determine which is more efficient. Assume these estimators are found using \(X_1\),\(X_2\), . . . , \(X_n\), independent random variables from \(n(x; \mu, \sigma)\). Which estimator is more efficient considering only the variance of the estimators? [Hint: Make use of Theorem 8.4 and the fact that the variance of \(X^2 _v\) is 2v, from Section 6.7.]
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