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MR2768848 60F05 (60G52 60G70)
Giuliano, Rita Weak convergence of sequences from fractional parts of random variables and applications. Teor. Ĭmovīr. Mat. Stat. No. 83 (2010), 49--58; reprinted in Theory Probab. Math. Statist. No. 83 (2011), 59–69
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