Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails

Rozovsky L.

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Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails

机译：具有指数递减尾部的独立晶格随机变量之和的超大偏差概率

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In the note we study large and superlarge deviation probabilities of sum of i.i.d. lattice random variables, whose distribution function has an exponentially decreasing tail at infinity.

机译：在本文中，我们研究了i.i.d和的大和超大偏差概率。晶格随机变量，其分布函数在无穷大处具有呈指数递减的尾部。

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《Statistics & Probability Letters》 |2012年第1期|共5页
作者
Rozovsky L.;
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正文语种 eng
中图分类概率论（几率论、或然率论）;
关键词
Large deviations; Lattice random variables; Maximal step; Sums of independent random variables; Superlarge deviations;

机译：大偏差;格随机变量;最大步长;独立随机变量之和;超大偏差;

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专利

1. Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails [J] . Rozovsky L. Statistics & Probability Letters . 2012,第1期

机译：具有指数递减尾部的独立晶格随机变量之和的超大偏差概率
2. Superlarge Deviation Probabilities for Sums of Independent Random Variables with Exponential Decreasing Distribution [J] . L. V. Rozovsky Theory of probability and its applications . 2007,第1期

机译：指数递减分布的独立随机变量之和的超大偏差概率
3. SMALL DEVIATION PROBABILITIES OF A SUM OF INDEPENDENT POSITIVE RANDOM VARIABLES, THE COMMON DISTRIBUTION OF WHICH DECREASES AT ZERO NOT FASTER THAN EXPONENTIAL FUNCTION [J] . L. V. Rozovsky Journal of Mathematical Sciences . 2018,第6期

机译：独立正随机变量之和的小偏差概率，零偏差的平均分布不快于指数函数
4. State-independent importance sampling for estimating large deviation probabilities in heavy-tailed random walks [C] . Rajhaa A. M. Karthyek, Juneja Sandeep 2012 6th international ICST conference on performance evaluation methodologies and tools. . 2012

机译：独立于状态的重要性抽样，用于估计重尾随机游走中的大偏差概率
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. On the Exponential Inequality for Weighted Sums of a Class of Linearly Negative Quadrant Dependent Random Variables [O] . Guodong Xing, Shanchao Yang -1

机译：一类线性负象限相关随机变量加权和的指数不等式
7. Remarks on summability of series formed of deviation probabilities of sums of independent identically distributed random variables [O] . A. R. Pruss 1996

机译：关于由独立相同分布的随机变量的总和的偏差概率形成的序列的备率
8. Some Exponential Moments of Sums of Independent Random Variables. [R] . Kuelbs, J. 1976

机译：独立随机变量和的一些指数矩。

Superlarge deviation probabilities for sums of independent lattice random variables with exponential decreasing tails

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