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1650统计简单derivationshort

MLE with Known Normal Variance and Invariance

题目

Suppose X1,,X25N(μ,4)X_1,\dots,X_{25}\sim N(\mu,4) i.i.d., and the sample mean is Xˉ=1.2\bar X=1.2.

Find the MLE of μ\mu, and then use invariance to estimate eμe^{\mu}.

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你的答案

MLE of μ

MLE of e^μ