i) Derive the standard error of ß, se (B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B.

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c)
Let Y₁, Y2,..., Yn be a random sample whose probability density function is given by
0<y<∞o and ß> 0
elsewhere.
200
= 100, y = 250 and = 0.025.
y3
f(y; B) = 684
0,
and suppose that n = 200, 2y = 20, 2y
200
i) Derive the standard error of ß, se() = 0.0009, using MLE approach.
ii) Find an approximate 95% Confidence interval for B.
Transcribed Image Text:c) Let Y₁, Y2,..., Yn be a random sample whose probability density function is given by 0<y<∞o and ß> 0 elsewhere. 200 = 100, y = 250 and = 0.025. y3 f(y; B) = 684 0, and suppose that n = 200, 2y = 20, 2y 200 i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B.
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