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ex-let-x-1-x-n-be-a-somple-taken-from-a-normal-did-whth-zero-mean-and-unkerain-votoner-theta-pa388

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EX: Let x_(1),-x_(n) be a somple taken from a normal did. whth zero
mean and unkerain votoner \theta ^(2) s i.e N(0,\theta ^(2))
a\theta ^(2)=
T_(n)=(2)/(n)x_(1)^(2)+((n-2))/(n(n-1))\sum_(i=2)^n x_(i)^(2). 1o the estimator unbicosed?
a\theta ^(2) - Is it unbiased? consistent? Efficiont?
f(2\theta ^(4))/(n) for all n -
Find ??s bian ad MSE. Compore it with MSE of the MUE.
(Yas have 15 ministes to solve!)
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