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Let Y₁, Y₂, Yn denote a random sample with density function given by 2y 0 where > 0. f(y|0) = 0, n c. Find an MVUE of 0. -e-v²/0, y>0, elsewhere. a. Show that - Y² is consistent for 0. [Hint: since it is the square in the n e-v²/0 that will make solving the integrals tricky, try a transformation that will remove that square.] b. Show that is sufficient for 0.

Let Y₁, Y₂, Yn denote a random sample with density function given by 2y 0 where > 0. f(y|0) = 0, n c. Find an MVUE of 0. -e-v²/0, y>0, elsewhere. a. Show that - Y² is consistent for 0. [Hint: since it is the square in the n e-v²/0 that will make solving the integrals tricky, try a transformation that will remove that square.] b. Show that is sufficient for 0.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let Y₁, Y₂, ..., Yn denote a random sample with density function given by 2y where > 0. f(y|0) = b. Show that Y? 0, n c. Find an MVUE of 0. -y²/6 a. Show that is consistent for 0. [Hint: since it is the square in the n e-²/8 that will make solving the integrals tricky, try a transformation that will remove that square.] 7 y > 0, elsewhere. is sufficient for 0.
Transcribed Image Text:Let Y₁, Y₂, ..., Yn denote a random sample with density function given by 2y where > 0. f(y|0) = b. Show that Y? 0, n c. Find an MVUE of 0. -y²/6 a. Show that is consistent for 0. [Hint: since it is the square in the n e-²/8 that will make solving the integrals tricky, try a transformation that will remove that square.] 7 y > 0, elsewhere. is sufficient for 0.
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