Show that if the assumptions of Theorem 7.2 are satisfied and, in addition,
E min h∈Qn |m(h) n (x) − m(x)| 2 µ(dx) ≥ Copt(1 + o(1))n−γ,
Then
lim n→∞ E ‑ |mn(x) − m(x)| 2µ(dx) E minh∈Qn ‑ |m(h) nl (x) − m(x)| 2µ(dx) = 1.
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