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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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c)
Let Y₁, Y₂,..., Yn be a random sample whose probability density function is given by
3
y³
= {apeet,
е
6846
0,
f(y; B) =
0 <y<∞o and p > 0
elsewhere
3
= 100, Σv
= 100, y = 250 and 3 = 0.025.
200
and suppose that n = 200, 20y₁ = 20, ²0 y?
Σ? yi
Derive the standard error of ß, se (B) = 0.0009, using MLE approach.
Find an approximate 95% Confidence interval for ß.
Transcribed Image Text:c) Let Y₁, Y₂,..., Yn be a random sample whose probability density function is given by 3 y³ = {apeet, е 6846 0, f(y; B) = 0 <y<∞o and p > 0 elsewhere 3 = 100, Σv = 100, y = 250 and 3 = 0.025. 200 and suppose that n = 200, 20y₁ = 20, ²0 y? Σ? yi Derive the standard error of ß, se (B) = 0.0009, using MLE approach. Find an approximate 95% Confidence interval for ß.
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