Ok, since nobody answered my last problem, I simplify. :)(adsbygoogle = window.adsbygoogle || []).push({});

Let Z = γ1X1 + γ2X2, where the gammas are just constants

p(Z) = exp(Z)/(1 + exp(Z))

X1 and X2 are bivariate normal and put

Y = α + β1X1 + β2X2 + ε where ε ~ N(0,σ).

Now, we want to find f(p(Z)|X1,Y). In this case, is it legal to do the

operation f(p(Z)|X1,Y)=f(p(Z|X1,Y))?

That is can we write

f(exp(Z|X1,Y)/(1 + exp(Z|X1,Y)))?

Thanks for any help!

/H

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# Function of a random variable and conditioning

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