Let X, X2,X, be a random sample from the pdf given 2x f(x; 0) =,0 sxs0, zero elsewhere. Show that the variance of is less than the Cramér-Rao lower bound for f(x; 0 ). Is A UMVUE? Interpret the results.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Let X,, X,
.,X, be a random sample from the pdf given
2x
f(x; 0)
0sxs0,zero elsewhere.
Show that the vanance of
%3D
2
X is less than the Cramer-Rao lower bound for f (x; 6). Is A UMVUE? Interpret the results.
Gerçeğini aç
EA
Len denes
Transcribed Image Text:Let X,, X, .,X, be a random sample from the pdf given 2x f(x; 0) 0sxs0,zero elsewhere. Show that the vanance of %3D 2 X is less than the Cramer-Rao lower bound for f (x; 6). Is A UMVUE? Interpret the results. Gerçeğini aç EA Len denes
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