Let Y₁, Y2, ..., Yn be a random sample whose probability density function is given by {G/B² € 7. 684 0, f(y; B) = 0 0 elsewhere 200 and suppose that n = 200, Σ²0y₁ = 200, Σ?f yi = 20, Σ? y? i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. 200 100, y = 250 and ß = 0.025.
Let Y₁, Y2, ..., Yn be a random sample whose probability density function is given by {G/B² € 7. 684 0, f(y; B) = 0 0 elsewhere 200 and suppose that n = 200, Σ²0y₁ = 200, Σ?f yi = 20, Σ? y? i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. 200 100, y = 250 and ß = 0.025.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Let Y₁, Y₂,..., Yn be a random sample whose probability density function is given by
y³
684
f(y; B) =
-eB².
0<y<∞ and p>0
0,
elsewhere
and suppose that n = 200, 20y₁ = 20,200 y? = 100, 200²³
Σ?90 yi
100,
i) Derive the standard error of ß, se(B) = 0.0009, using MLE approach.
ii) Find an approximate 95% Confidence interval for B.
y = 250 and  = 0.025.
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