Question: Full conditionals: Let X, Y, Z be random variables with joint density (dis- crete or continuous) p(x, y, 2) x f(2, 2)9(y, 2)h(2). Show that

Full conditionals: Let X, Y, Z be random variables with joint density (dis- crete or continuous) p(x, y, 2) x f(2, 2)9(y, 2)h(2). Show that a) p(ry, =) x f(x, 2), ie. p(oly, 2) is a function of r and z; b) p(yr, =) x g(y, =), i.e. p(yr, =) is a function of y and z; c) X and Y are conditionally independent given Z

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