date: 2025-01-03 Let be a sequence of iid RVs with Let Then for any Assume is countable is fixed Case 1: from Chebyshev’s inequality Case II: Assume Let (to be fixed later) for each define pairs of RVs Solving Lemma solving Let ε Chose large such that ε then for chose large such that ε Claim If this implies that Previous:Some inequalities Next: