Re: Expectation of ratio



The only things i know is that x1,x2 are >0. in addition i got this
function as a results of derivation of another function and the alpha
from the lagranz multipliers.
So me equation is: -(1/x2)*exp(-x1/x2)+(1/x1)*(1-exp(-x1/x2))=alpha
i think that x1 and x2 are dependent.
Still don't have any clue how to get some mathematical formula for
E[x1/x2]..

thanks for the help and patience,
Kiwi


Ray Koopman wrote:
kiwi wrote:
F(x1,x2)=-(1/x2)*exp(-x1/x2)+(1/x1)*(1-exp(-x1/x2))=alpha.
i want to find the E[x1/x2] . is it possible at all to do it? how
should i do it? i want to be able to dervie some mathetaical formula
for this.

Integral_0^oo F(x1,x2)dx2 = 1 if x1 > 0,
so is F(x1,x2) the conditional density of x2|x1?
If so then what is the marginal density of x1?
If not then what is the joint density of (x1,x2}?

.



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