The Rayleigh density function is given by 2y 0 = foto 0, fy(y) = y²/0, y>0 ·e-y²/6 elsewhere. Let Y₁, Y2 , . . . , Y₁ denote a random sample from Rayleigh distribution, show 1 that = ₁ Y² is consistent and sufficient estimator for 0. Find an MVUE of 0. n
The Rayleigh density function is given by 2y 0 = foto 0, fy(y) = y²/0, y>0 ·e-y²/6 elsewhere. Let Y₁, Y2 , . . . , Y₁ denote a random sample from Rayleigh distribution, show 1 that = ₁ Y² is consistent and sufficient estimator for 0. Find an MVUE of 0. n
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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Transcribed Image Text:The Rayleigh density function is given by
2y
0
fy (y)
n
=
0,
e-v²/0,
-y²/0, y>0
elsewhere.
Let Y₁, Y₂,...
Yn denote a random sample from Rayleigh distribution, show
9
1
that EY² is consistent and sufficient estimator for 0. Find an MVUE of 0.
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