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相依随机序列滑动平均的若干极限定理
引用本文:张国,陈文波.相依随机序列滑动平均的若干极限定理[J].安徽工业大学学报,2012(1):92-94.
作者姓名:张国  陈文波
作者单位:安徽工业大学数理学院
基金项目:安徽省教育厅科研基金(KJ2010A337)
摘    要:基于服从指数分布的独立随机变量序列,构造带参数的滑动似然比,给出任意随机序列的用不等式表示的强极限定理,即小偏差定理。所得结果推广了已有结论。

关 键 词:滑动似然比  滑动平均  指数分布  强极限定理

Some Limit Theorems for Moving Averages of Dependent Random Sequence
ZHANG Guo,CHEN Wen-bo.Some Limit Theorems for Moving Averages of Dependent Random Sequence[J].Journal of Anhui University of Technology,2012(1):92-94.
Authors:ZHANG Guo  CHEN Wen-bo
Affiliation:(School of Mathematics & Physics,Anhui University of Technology,Ma anshan 243002,China)
Abstract:Abstrct: Based on the independent random variables with exponential distribution,moving likelihood ratio with a parameter is constructed.A class of strontg limit theorems of arbitrary random sequence represented by inequalities,namely strong deviation theorems,are obtained.The obtained results generalize some previous conclusions.
Keywords:moving likelihood ratio  moving average  exponential distribution  strong limit theorem
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