Let X1,..., Xn be iid random variables from N(0, o²) with pdf f(x; o²) = 1 exp -0 < r < 0, 02 > 0. 20²S Use the factorization theorem to show that X? is a sufficient statistic for o². i=1

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Let X1,..., Xn be iid random variables from N (0, o²) with pdf
,2
1
exp
2TO2
f(x; o²) =
-00 <x < 0, 0² > 0.
202
Use the factorization theorem to show that X? is a sufficient statistic for o?.
i=1
Transcribed Image Text:Let X1,..., Xn be iid random variables from N (0, o²) with pdf ,2 1 exp 2TO2 f(x; o²) = -00 <x < 0, 0² > 0. 202 Use the factorization theorem to show that X? is a sufficient statistic for o?. i=1
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