show that 0 is an 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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b) Let X1, X2, ..., X, represent a sample of size n from a distribution with
probability density function
f(x; 0) = e), x > 0, 0 > 0
0, otherwise
An estimator of 0 is defined as  = X
2n
%3D
4-
Given E(X) =
and Var(X) = (–)0, show that 0 is an unbiased
%3D
estimator.
Transcribed Image Text:b) Let X1, X2, ..., X, represent a sample of size n from a distribution with probability density function f(x; 0) = e), x > 0, 0 > 0 0, otherwise An estimator of 0 is defined as  = X 2n %3D 4- Given E(X) = and Var(X) = (–)0, show that 0 is an unbiased %3D estimator.
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