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MR2144306 (2005m:60038) 60E15
Novak, S. Yu. On self-normalized sums of random variables and the Student's statistic. (Russian) Teor. Veroyatn. Primen. 49 (2004), no. 2, 365--373; translation in Theory Probab. Appl. 49 (2005), no. 2, 336–344
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