How does one prove that E_x(E(Y|X))=u_y?

where u_y is the partial mean of y

thanks!

Printable View

- Jan 31st 2011, 03:43 PMmorganforExpected value proof
How does one prove that E_x(E(Y|X))=u_y?

where u_y is the partial mean of y

thanks! - Jan 31st 2011, 04:33 PMharish21
What kind of Random Variables are X and Y?

Wikipedia proves your question if the random variables are discrete . Try to solve it for the continuous case and reply back with an attempt if you are stuck. - Jan 31st 2011, 09:50 PMmatheagle
E_x(E(Y|X))=E(Y)