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渐近对数似然比与一类强偏差定理
引用本文:刘文. 渐近对数似然比与一类强偏差定理[J]. 河北工业大学学报, 2000, 29(1): 34-42
作者姓名:刘文
作者单位:河北工业大学,文理学院,天津,300130
基金项目:中国科学院资助项目,19871022,
摘    要:引进渐近对数似然比的概念,并利用它来研究相依离散随机变量序列的极限性质.得到了一类用不等式表示的强极限定理,本文称之为强偏定理,其偏差界依赖于.

关 键 词:渐近对数似然比 强偏差定理 强极限定理

Asymptotic Log-likelihood Ratio and a Class of Strong Deviation Theorems
LIU Wen. Asymptotic Log-likelihood Ratio and a Class of Strong Deviation Theorems[J]. Journal of Hebei University of Technology, 2000, 29(1): 34-42
Authors:LIU Wen
Abstract:The notion asympotic log-likelihood ratio r(w) is introduced to investigate the limit properties of the sequences of dependent discrete random variables. A class of strong limit theorems represented by inequalities which we call the strong deviation are obtained. The bounds given by these theorems depend on r(w).
Keywords:asymptotic log-likelihood ratio: strong deviation theorem: strong limit theorem represented by inequalities
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