Banach空间中i.i.d.随机变量中偏差的下限不等式
ON THE LOWER BOUND OF THE MODERATE DEVIATIONS OF I.I.D.RANDOM VARIABLES IN BANACH SPACE
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摘要: 本文得到了Banach空间中i.i.d.随机元序列部份和Sn满足中偏差下限不等式的充要条件,讨论了开凸集上的中偏差问题.Abstract: In this paper, the sufficient and necessary conditions will be given for the lower bound of the moderate deviations of i. i. d. random variables in a Banach space. Using this result, we shall obtain some moderate deviations on open convex set.