Question: For n ¥1, let X n and Y n be r.v.s defined on the probability space (Ω, A , P ), and suppose that |

Forn  ‰¥1, letXnandYnbe r.v.s defined on the probability space (Ω,A,P), and suppose that |Xn| and |Yn|,n  ‰¥ 1, are uniformly integrable andX, — Ү, — 0  as

(i) |Xn €“ Yn|, n  ‰¥ 1, are uniformly integrable.

(ii) ε |Xn €“ Yn| (i) |Xn - Yn|, n ( 1, are uniformly integrable.

X, , 0

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