Let X, X2, ,Xbe iid. random variable the interval [0, 1] with density function rCr:a) = r(2a) (x(1-x))-1, where a >0 is a parameter to be estimated from the sample. The sufficient statistic for a is A) I, ,(1 - x) B) X D) 0.5 X E) [(1- x) A
Let X, X2, ,Xbe iid. random variable the interval [0, 1] with density function rCr:a) = r(2a) (x(1-x))-1, where a >0 is a parameter to be estimated from the sample. The sufficient statistic for a is A) I, ,(1 - x) B) X D) 0.5 X E) [(1- x) A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let X, X2, X,be iid. random variable the interval [0, 1] with density function
rCx:a) =
r(2a)
(x(1-x))a-1, where a >0 is a parameter to be estimated from the
sample. The sufficient statistic for a is
A) I, *(1 - x)
B) &
D) 0.5 X
E) [(1- x)
A
E
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F107e5b35-1fd4-4f61-ba44-3751ee9db6eb%2F6f5d3292-db68-45d9-b8b8-0bfbf742ccc7%2F6bk223v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X, X2, X,be iid. random variable the interval [0, 1] with density function
rCx:a) =
r(2a)
(x(1-x))a-1, where a >0 is a parameter to be estimated from the
sample. The sufficient statistic for a is
A) I, *(1 - x)
B) &
D) 0.5 X
E) [(1- x)
A
E
C
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