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3. Estimator in statistics, we often use a statistic X to estimate a parameter 6. On one hand, if E(X) we say X is an

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3. Estimator in statistics, we often use a statistic X to estimate a parameter 6. On one hand, if E(X) we say X is an unbiased estimator of 0. On the other hand, X is called a consistent estimator of 8 if X converges to 0 as sample size increases (i.e., it requires Var(x) decrease as sample size increases). 3.1 If we draw a random sample of size n from a normal population with mean u and variance , please prove that sample variance S is an unbiased estimator of population variance 62. [8%] ample variance S? is a consistent estimator of

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