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Feb 3, 2014 at 8:49 history edited user45947 CC BY-SA 3.0
Added a reformulation of the question.
Feb 1, 2014 at 7:34 answer added Bjørn Kjos-Hanssen timeline score: 1
S Jan 30, 2014 at 5:17 history suggested gaoxinge CC BY-SA 3.0
little change
Jan 30, 2014 at 4:48 comment added gaoxinge From the assumption, we can get $$\sum_{i\not=j}E(X_iX_j)\leq n(n-1)E(X)^2$$$$\sum_{i\not=j}E(Y_iY_j)\leq n(n-1)E(Y)^2$$And our aim is to $$\sum_{i\not=j}E(X_iX_j)E(Y_iY_j)\leq n(n-1)E(X)^2E(Y)^2$$I think we can consider from $n=2,3$. When $n=2$, it is obviously right. When $n=3$, I have no idea to prove it right or not.
Jan 30, 2014 at 4:19 review Suggested edits
S Jan 30, 2014 at 5:17
Jan 30, 2014 at 1:03 review First posts
Jan 30, 2014 at 1:33
Jan 30, 2014 at 0:46 history asked user45947 CC BY-SA 3.0