Ӧ�ø���ͳ�� 2006, 22(4) 358-362 DOI:      ISSN: 1001-4268 CN: 31-1256

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A Note on the Self-Normalized Large Deviation
SHAO Qiman
Department of Mathematics, Hong Kong University of Science and Technology;Department of Mathematics, University of Oregon;Department of Mathematics, Zhejiang University,
Abstract: Let $X_1,X_2,\cdots$ be a sequence of i.i.d. random variables. Shao (1997) established a self-normalized large deviation without any moment assumption. However, the proof of the upper bound was quite complicated. In this note we give a much simpler proof.
Keywords: Self-normalized partial sums   large deviation  
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