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Graduate Conditional Mean: Does the Equation Hold in General?
True. In the case that X=aY+Z, it does not hold also if Corr(Y,Z) is different from zero and/or E(Z) is different from zero (I forgot to mention this condition before).- EconMax
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- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Conditional Mean: Does the Equation Hold in General?
In a paper, I have found this relationship: E(X|Y<y)=Cov(X,Y)*E(Y|Y<y)/Var(Y) It seems to me that the previous equation holds if, for instance, X=aY+Z with Z and Y independent and a non zero. It also holds if (X,Y) is a bivariate normal (with non zero correlation). But does it hold...- EconMax
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- Conditional Mean
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- Forum: Set Theory, Logic, Probability, Statistics