*8. Let Y1,...,Yn iid Bernoulli(0). (a) Use the asymptotic distribution of the MLE to show that: Vn(Y – 0) d, N (0,1) VY(1 – Y) (b) Derive an approximate 1 - a confidence interval for 0 from your answer to the previous part.

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*8. Let Y1, ...,Yn
iid
Bernoulli(0).
(a) Use the asymptotic distribution of the MLE to show that:
Vn(Y - 0) , N (0,1)
VÝ(1 – Y)
(b) Derive an approximate 1 – a confidence interval for 0 from your answer to the previous
part.
Transcribed Image Text:*8. Let Y1, ...,Yn iid Bernoulli(0). (a) Use the asymptotic distribution of the MLE to show that: Vn(Y - 0) , N (0,1) VÝ(1 – Y) (b) Derive an approximate 1 – a confidence interval for 0 from your answer to the previous part.
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