le covariance is an unbiased estimator of Cov(X₁, Y₁). equality X₁ X = (Xi − µ) — (X − µμ). - - - om the statement in part (a) that the sample correlation is an of Corr(X1₁, Y₁)? Justify your answer.
le covariance is an unbiased estimator of Cov(X₁, Y₁). equality X₁ X = (Xi − µ) — (X − µμ). - - - om the statement in part (a) that the sample correlation is an of Corr(X1₁, Y₁)? Justify your answer.
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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Transcribed Image Text:B2. Consider the random variables X and Y; from question B1 again.
(a) Show that the sample covariance is an unbiased estimator of Cov(X₁,Y₁).
Hint: consider the equality X; X = (X₂ − µ) – (X -μ).
(b) Can you conclude from the statement in part (a) that the sample correlation is an
unbiased estimator of Corr(X₁, Y₁)? Justify your answer.
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