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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Let Y₁, Y2₂,..., Yn be a random sample whose probability density function is given by
Sape et.
0,
23
0 <y<∞o and ß> 0
elsewhere
and suppose that n = 200, y = 20, y = 100, 20y = 250 and 8 = 0.025.
200
200
200,3
i) Derive the standard error of ß, se() = 0.0009, using MLE approach.
ii) Find an approximate 95% Confidence interval for p.
f(y; B):
684
Transcribed Image Text:Let Y₁, Y2₂,..., Yn be a random sample whose probability density function is given by Sape et. 0, 23 0 <y<∞o and ß> 0 elsewhere and suppose that n = 200, y = 20, y = 100, 20y = 250 and 8 = 0.025. 200 200 200,3 i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for p. f(y; B): 684
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Firstly it is required to determine the MLE of the parameter and then the variance to get the required confidence interval.

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