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MR1404667 60F17
Yakubovskiĭ, A.; Memen, Zh. Functional central limit theorems for a class of quadratic forms in independent random variables. (Russian) Teor. Veroyatnost. i Primenen. 38 (1993), no. 3, 600--612; translation in Theory Probab. Appl. 38 (1993), no. 3, 423–432
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