Let Y be a random variable with density fr(v) = je-, for y > 0. Consider the following estimator: %3D Y +Y2 Ô2 = %3D Y+2Y2 %3D 3 Find the efficiency of ô, relative to 04, of ô2 relative to 0, and of 6g relative to Ô g.

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Exercise 1
Let Y be a random variable with density
1
fr (y) = e , for y > 0.
Consider the following estimator:
Ô = Y1
Yi + Y2
%3D
2
Y+2Y2
3
Find the efficiency of 0, relative to 04, of Ô2 relative to 0, and of 0g relative to s.
Transcribed Image Text:Exercise 1 Let Y be a random variable with density 1 fr (y) = e , for y > 0. Consider the following estimator: Ô = Y1 Yi + Y2 %3D 2 Y+2Y2 3 Find the efficiency of 0, relative to 04, of Ô2 relative to 0, and of 0g relative to s.
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