| 关于负二项分布滑动平均的若干强偏差定理 |
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| 引用本文： | 董云,丁芳清.关于负二项分布滑动平均的若干强偏差定理[J].合肥联合大学学报,2013(3):11-14. |
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| 作者姓名： | 董云 丁芳清 |
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| 作者单位： | [1]马鞍山师范高等专科学校教师教育系,安徽马鞍山243002 [2]合肥学院数学与物理系,合肥230601 |
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| 基金项目： | 基金项目：合肥学院科研发展基金重点项目（13KY03ZD）、马鞍山师范高等专科学校自然科学研究项目（2013xjkyxm13）资助. |
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| 摘 要： | 引入随机序列滑动似然比作为整值随机变量序列相对于服从负二项分布的独立随机变量序列的偏差的一种随机性度量，通过滑动相对熵限定了样本空间的一个子集．在此子集上得到了一类关于任意整值随机变量序列的用不等式表示的定理．即强偏差定理．
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| 关 键 词： | 滑动似然比 滑动相对熵 滑动平均 负二项分布 强偏差定理 |
On Small Deviation Theorems of Moving Averages of Negative Binomial Distributed Random Sequence |
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| Authors: | DONG Yun DING Fang-qing |
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| Institution: | 1. Teachers Education Department, Ma＇anshan Teacher＇s College, Ma＇anshan, Anhui 243002 ; 2. Department of Mathematics and Physics, Hefei University, Hefei 230601, China) |
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| Abstract: | In this paper the notion of moving likelihood ratio, as a measure of deviation between a sequenes of the integer-valued variables with negative binomial distrbution , is introduced a subset of the sample space is given by restricting the moving relative entropy, and on this subset a kind of limit theorems , represented by inequalities, for these sequence of arbitrary integer-valued random variables are obtained,i, e. small deviatio theorems. |
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| Keywords: | moving likelihood ratio moving relative entropy moving average negative binomialdistribution small deviation theorem |
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