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Suppose we sample from a normally distributed population. The estimator S = VE,(X - X)² is a biased estimator of o since E(S) = A o. However modifying this estimator we arrive at a slightly different but unbiased estimator S' = Vn-Ir(") Var() 2s of a. Is S' a consistent estimator of o? r()-1 r() [Hint: You may use the approximation that

Suppose we sample from a normally distributed population. The estimator S = VE,(X - X)² is a biased estimator of o since E(S) = A o. However modifying this estimator we arrive at a slightly different but unbiased estimator S' = Vn-Ir(") Var() 2s of a. Is S' a consistent estimator of o? r()-1 r() [Hint: You may use the approximation that

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose we sample from a normally distributed population. The estimator S = VE(X - X)2 is a biased estimator of a since E(S) = o. However modifying this estimator we arrive at a slightly different but unbiased estimator S' = Vn-ir(",!)s of g. Is S' a consistent estimator of o? Vär) r(") T(3) [Hint: You may use the approximation that Yes, S' is a consistent estimator of o No, S' is not a consistent estimator of o
Transcribed Image Text:Suppose we sample from a normally distributed population. The estimator S = VE(X - X)2 is a biased estimator of a since E(S) = o. However modifying this estimator we arrive at a slightly different but unbiased estimator S' = Vn-ir(",!)s of g. Is S' a consistent estimator of o? Vär) r(") T(3) [Hint: You may use the approximation that Yes, S' is a consistent estimator of o No, S' is not a consistent estimator of o
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