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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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23cdc0d7-7d33-42d3-8fb9-b8ab1ea99c34%2F727eb563-de60-4110-8a59-94de42619b19%2Fup8p4e_processed.jpeg&w=3840&q=75)
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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