It says they're independent?? How could I have missed that??!? Now I
feel dumb...
Thanks Ian!
Z
Ian Yohai wrote:
Remember the question says that X1, X2, X3 are
independent random variables,
and hence the covariance terms drop out.
Also I think you can always think of the sum of three variables as the sum
of two variables...e.g., think of a variable Z = 2*X1 - X2, then you can
take the variance of (Z + 4*X3), which is equal to the variance of Y.
Essentially you just apply the formula for variance of the sum of two
variables twice.
Hope that helps,
Ian
-----Original Message-----
From: gov1000-list-admin(a)fas.harvard.edu
[mailto:gov1000-list-admin@fas.harvard.edu] On Behalf Of Zoë VanderWolk
Sent: Tuesday, October 28, 2003 8:10 PM
To: gov1000-list(a)fas.harvard.edu
Subject: [gov1000-list] Those covariances...
So who knows what to do with the variance of a sum of three random
variables? Can covariance have three covariates within the brackets?
ie Cov(X1, X2, X3)? And if so, what does the formula look like? Or do
we have Cov(X1, X2) + Cov(X2, X3) + Cov(X1, X3)?
Zoë
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