8-Suppose X₁, X2, ..., Xn are i.id with density fx(x) = 0²xe-0x for 0 < x <∞ and 0 > 0. a-Find the MLE of 0. b-computing the fisher information c-Derive the limiting distribution of MLE (0) and the limiting distribution of MLE(eº).

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8-Suppose X₁, X2, ..., Xn are i.id with density fx(x) = 0²xe-x for
0 < x <∞ and 0 > 0.
a-Find the MLE of 0. b-computing the fisher information
c-Derive the limiting distribution of MLE(0) and the limiting
distribution of MLE(eº).
Transcribed Image Text:8-Suppose X₁, X2, ..., Xn are i.id with density fx(x) = 0²xe-x for 0 < x <∞ and 0 > 0. a-Find the MLE of 0. b-computing the fisher information c-Derive the limiting distribution of MLE(0) and the limiting distribution of MLE(eº).
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