Law Of Iterated Expectations . Berlin Chen Department of Computer Science & Information Engineering ppt download OCW is open and available to the world and is a permanent MIT activity To clarify, this could be written as E X [E Y [Y jX]], though this is rarely.
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MIT OpenCourseWare is a web based publication of virtually all MIT course content • Think of x as a discrete vector taking on possible values c 1,c 2,.,c M, with probabilities p 1,p 2,.,p M
PPT Chapter 8 Conditioning Information PowerPoint Presentation ID1940594 Sometimes you may see it written as E(X) = E y(E x(XjY)) What is the expectation of this distribution? In math, the expectation of E[Y jX] is E[E[Y jX]], of course A common special case involves conditioning on a partition of the sample space:
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PPT Supplement 3 PowerPoint Presentation, free download ID3643632 . The inner expectation is over Y, and the outer expectation is over X The Law of Iterated Expectation states that the expected value of a random variable is equal to the sum of the expected values of that random variable conditioned on a second random variable
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