Banach空间中独立随机元的中偏差

PROBABILITIES OF MODERATE DEVIATIONS FOR INDEPENDFNT RANDOM VECTORS IN A BANACH SPACE

本文讨论实可分Banach空间值的独立同分布随机元的中偏差估计问题,一些结果改进了Bolthausen的工作,其中某些结果即使对实值情形也是新的。

We obtain the upper bound of moderate deviations for i.i.d, sequences taking values in a separable Banaoh space. Some results improve the work of Bolthausen and some are new, even for the real value ease.