Given two standard normal variables - e1 and e2 - both IID.
Given also x and y, with correlation p between them.

Let x = e1

Then y = p*e1 + ((1-p)^.5)*e2  (I think)

Here is my question: How do I extend this to the three variable case?

In this case, there are three variables, x, y, and z with correlations
Pxy, Pxz, and Pyz. You can have as many gaussian e disturbances as you
want, but I think you'd only need e1, e2, and e3.

I must be stupid, but I can't generalize from the two to the three
variable case. Help!

Thanks,

Rishi
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