For n ( 1, let Xn and X be r.v.s defined on the probability space ((, A,

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For n ( 1, let Xn and X be r.v.s defined on the probability space ((, A, P), and suppose that, as n †’ (, ε|Xn| †’ ε|X|
X. п

Then show that |Xn|, n ( 1, are uniformly integrable?

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