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Q65Section III (Statistics)65 of 84

EXˉ2=θ2+σ2/nE\bar X^2=\theta^2+\sigma^2/n, so subtract σ2/n\sigma^2/n

Let X1,…,XnX_1,\dots,X_n be a random sample from normal distribution with mean θ\theta and known variance σ2\sigma^2. Then UMVUE of θ2\theta^2 is:

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