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Conditional Expectation - Department of Mathematics ...
web.ma.utexas.eduJan 24, 2015 · Lecture 10: Conditional Expectation 3 of 17 Look at the illustrations above and convince yourself that E[E[Xjs(Y)]js(Z)] = E[Xjs(Z)]. A general result along the same lines - called the tower property of con-ditional expectation - will be stated and proved below. Our first task is to prove that conditional expectations always exist.