On the Equivalence of Modes of Convergence(1)
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 571-575

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Let (Ω,F, P) be a probability space. Let R denote the set of real numbers and the set of all random variables defined on Ω. Throughout this work, random variables which differ only on a set of probability zero will be considered identical. EX represents, as usual, the expectation of .
Tomkins, R. J. On the Equivalence of Modes of Convergence(1). Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 571-575. doi: 10.4153/CMB-1973-093-7
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     title = {On the {Equivalence} of {Modes} of {Convergence(1)}},
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