Let X1, X2, X3 be a random sample of size 3 from a popu-lation with densityif a = 0,1,2, .., 0f(r; A) =otherwise,where A is a parameter. Are the estimators given by1A1 =- (X1 + 2X2+ X3)and12 =5 (4X1 +3X2 + 2X3)4unbiased?

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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, ., o f(r; A) = otherwise, where A is a parameter. Are the estimators given by 1 A = (X1+2X2+X3) 2=5 (4X1 +3X2+2.X3) %3D and unbiased?

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

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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Question

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
12 =5 (4X1 +3X2 + 2X3)
4
unbiased?

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