Let X1, X2, X3 be a random sample of size 3 from a popu-lation with density if æ = 0,1,2,.., 00 f(r; A) = otherwise, where A is a parameter. Are the estimators given by 1 d1 =- (X1+ 2X2 + X3) and A2 =, (4X1 +3X2 +2.X3) %3D unbiased?

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Let X1, X2, X3 be a random sample of size 3 from a popu-lation with density
if a = 0,1,2, .., 0
f(r; A) =
otherwise,
where A is a parameter. Are the estimators given by
1
A1 =- (X1 + 2X2+ X3)
and
A2 =5 (4X1 +3X2 +2X3)
%3D
4
unbiased?
Transcribed Image Text:Let X1, X2, X3 be a random sample of size 3 from a popu-lation with density if a = 0,1,2, .., 0 f(r; A) = otherwise, where A is a parameter. Are the estimators given by 1 A1 =- (X1 + 2X2+ X3) and A2 =5 (4X1 +3X2 +2X3) %3D 4 unbiased?
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