Let X, X2, X,be iid. random variable the interval [0, 1] with density functionrCx:a) =r(2a)(x(1-x))a-1, where a >0 is a parameter to be estimated from thesample. The sufficient statistic for a isA) I, *(1 - x)B) &D) 0.5 XE) [(1- x)AEC

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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Question

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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