THE CHERNOFF-TYPE LARGE DEVIATIONS FOR SUMS WITH A RANDOM NORMALIZATION

Rozovsky LV

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THE CHERNOFF-TYPE LARGE DEVIATIONS FOR SUMS WITH A RANDOM NORMALIZATION

机译：随机归一化求和的Chernoff型大偏差

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In this note we study Chernoff-type large deviations for sums of independent random variables with a random normalization including self-normalized sums.

机译：在本注释中，我们研究具有随机归一化（包括自归一化和）的独立随机变量之和的Chernoff型大偏差。

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《Theory of probability and its applications》 |2008年第4期|共9页
作者
Rozovsky LV;
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正文语种 eng
中图分类概率论与数理统计;
关键词
independent random variables; Chernoff's theorem; self-normalized sums; large deviations;

机译：独立随机变量;切尔诺夫定理;归一化和;大偏差;

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专利

1. THE CHERNOFF-TYPE LARGE DEVIATIONS FOR SUMS WITH A RANDOM NORMALIZATION [J] . Rozovsky LV Theory of probability and its applications . 2008,第4期

机译：随机归一化求和的Chernoff型大偏差
2. Large deviations for some normalized sums of exponentially distributed random variables [J] . Rita Giuliano, Claudio Macci Annales Mathematicae et Informaticae . 2012,第1期

机译：指数分布随机变量的某些归一化和的大偏差
3. The moderate deviation principle for self-normalized sums of sums of i.i.d. random variables [J] . Qian B, Yan J Applied mathematics letters . 2009,第5期

机译：i.i.d.的和的自归一化和的中等偏差原理随机变量
4. A class of random deviation theorems for weighted sums of continuous random variables [C] . Yuesheng Song, Weiguo Yang 2009 International Workshop on Information Security and Application(2009 信息安全与应用国际研讨会） . 2009

机译：连续随机变量加权和的一类随机偏差定理
5. Small deviations of sums of random variables. [D] . Garnett, Brian. 2016

机译：随机变量总和的小偏差。
6. Effect of hypotensive hypovolemia and thoracic epidural anesthesia on plasma pro-atrial natriuretic peptide to indicate deviations in central blood volume in pigs: a blinded randomized controlled trial [O] . Rune B Strandby, Rikard Ambrus, Michael P Achiam, 2019

机译：降压性低血容量和胸膜硬膜外麻醉对血浆心房利钠肽的影响以表明猪的中枢血容量存在偏差：一项盲法随机对照试验
7. The moderate deviation principle for self-normalized sums of sums of i.i.d. random variables [O] . Qian Bin, Yan Jun 2009

机译：i.i.d.的自归一化和的中等偏差原理随机变量

THE CHERNOFF-TYPE LARGE DEVIATIONS FOR SUMS WITH A RANDOM NORMALIZATION

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