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QUESTION
Let X = Y-Z where Y and Z are nonnegative random variables such that YZ = 0 (a) show that Cov(Y,Z) =0 (b) show that var(X)= var(Y) + var(Z) (c) Use...
Let X = Y-Z where Y and Z are nonnegative random variables such that YZ = 0(a) show that Cov(Y,Z) <=0(b) show that var(X)=> var(Y) + var(Z)(c) Use the result of part (b) to show that var(x) >= var(max{0,X}) + var(max{0,-X})
