Improved one-sided deviation inequalities under regularity assumptions for product measures

Improved one-sided deviation inequalities under regularity assumptions for product measures
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改进了产品测量的正则性假设下的单边偏差不等式

DOI:
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发表时间:
2018
期刊:
E S A I M: Probability & Statistics
影响因子:
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通讯作者:
Kevin Tanguy
Kevin Tanguy
中科院分区:
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文献类型:
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作者:
Kevin Tanguy

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本说明涉及乘积测度的下尾估计。对于满足某些正则性和单调性假设的函数,得到了一些改进的偏差不等式。参数是基于半群插值与哈里斯的负结合不等式和超压缩估计。
This note is concerned with lower tail estimates for product measures. Some improved deviation inequalities are obtained for functions satisfying some regularity and monotonicity assumptions. The arguments are based on semigroup interpolation together with Harris’s negative association inequality and hypercontractive estimates.