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On distributions of conditional expectations
distribution of random variable conditional expectation
2009/9/22
Let F and G bc distribution functions on R. Then therc
exist a random variable X and a rr-field a satisfying P(X < a) = F(a),
P(E(XIQ9e rr)=G (a) i f f J ( n , , , ( ~ t ~ l -G(G~ ~0~~d J~(- m,,(F(r...
On the sequences whose conditional expectations can approximate any random variable
Conditional expectation almost sure convergence
2009/9/21
Let [Q, 5, P) be a non-atomic probability space. For
a given sequence (XJ of random variables we indicate a number of
conditions which imply that for any random variable Y there exists
a sequence (...
Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions
Random Sets Boundaries Oriented Distance Functions
2010/3/18
Shape estimation and object reconstruction are common problems in image analysis. Mathematically,viewing objects in the image plane as random sets reduces the problem of shape estimation to inference ...