A class of random deviation theorems for weighted sums of continuous random variables

机译：连续随机变量加权和的一类随机偏差定理

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摘要

Consider {Xn, n≥1} be a sequence of continuous random variables, we introduce the notion of loglikelyhood ratio of stochastic sequences, as a measure of dissimilarity between their joint distribution and the product qn (x1, ……,xn) of their marginals. We obtain some deviation theorems for the Jamison type weighted sums of continuous random variables by using the generating function method.

机译：假设{Xn，n≥1}是连续随机变量的序列，我们引入随机序列的对数似然比的概念，以度量其联合分布与它们的乘积qn（x1，…，xn）之间的不相似度。边缘的。通过使用生成函数方法，获得了连续随机变量的Jamison型加权和的一些偏差定理。

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来源
《2009 International Workshop on Information Security and Application(2009 信息安全与应用国际研讨会）》|2009年|p.496-499|共4页
会议地点 Qingdao(CN);Qingdao(CN)
作者
Yuesheng Song; Weiguo Yang;
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作者单位

Faculty of Science, Jiangsu University, Zhenjiang, China;

Faculty of Science, Jiangsu University, Zhenjiang, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
continuous random variables; generating function; weighted sums; deviation theorems;

机译：连续随机变量；生成函数；加权和；偏差定理;

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1. Theorems on large deviations for randomly indexed sum of weighted random variables [J] . Kasparavi?iutè A., Saulis L. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2011,第3期

机译：加权随机变量的随机索引和的大偏差定理
2. Theorems on Large Deviations for Randomly Indexed Sum of Weighted Random Variables [J] . Aurelija Kasparavičiūtė, Leonas Saulis Acta Applicandae Mathematicae . 2011,第3期

机译：加权随机变量的随机索引和的大偏差定理
3. Precise large deviations for randomly weighted sums of negatively dependent random variables with consistently varying tails [J] . Shen XM, Lin ZY Statistics & Probability Letters . 2008,第18期

机译：尾部一致的负相关随机变量的随机加权和的精确大偏差
4. Strong Deviation Theorems for the Continuous Random Variables and the Approach of Moment Generating Function [C] . LI Wenhan, CAO Nanbin, LIU Yichen International institute of statistics management engineering symposium . 2011

机译：连续随机变量的强偏差定理和矩生成函数的方法
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. Theorems of Large Deviations for the Sums of a Random Number of Independent Random Variables [O] . Aurelija Kasparavičiūtė 2013

机译：随机数独立随机变量总和的大偏差定理
8. Limit Theorems in the Area of Large Deviations for Some Dependent Random Variables [R] . Chaganty, N. R., Sethuraman, J. 1987

机译：一类相依随机变量的大偏差区域极限定理

A class of random deviation theorems for weighted sums of continuous random variables

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