Unformatted text preview: X and the density of Y are called the marginal densities or marginal distributions. If we know the joint density of X and Y , we can talk about the conditional distribution (density) of X given Y = y . This is the expression P ( X = x | Y = y ) = P ( X = x,Y = y ) P ( Y = y ) . Just as E g ( X ) = ∑ x g ( x ) P ( X = x ), we have E g ( X,Y ) = X x,y g ( x,y ) P ( X = x,Y = y ) . 24...
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This note was uploaded on 12/29/2011 for the course MATH 316 taught by Professor Ansan during the Spring '10 term at SUNY Stony Brook.
- Spring '10