Suppose X and S² are calculated from a random sample X₁,..., Xn drawn from a population with finite variance o2. We know that ES2o2. Prove that ES 0, then ES

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Q: 0². Find expressions for the following in terms of the mean and variance:

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Q: Let X1, …, Xn be a random sample from a N(μ, σ²) population. Find the MLEs of μ and of σ.

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