任意随机序列随机条件概率调和平均的一类强偏差定理  

Strong deviation theorems for the harmonic mean of the random conditional probabilities for the arbitrary stochastic sequence

作　　者：王康康[1] 李芳[2] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003 [2]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《江苏科技大学学报（自然科学版）》2012年第5期519-522,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(11072107);江苏省高校自然科学基础研究基金资助项目(09KJD110002)

摘　　要：主要研究任意随机序列随机条件概率调和平均的a.s.收敛的强偏差定理.在证明中采用了一种把网微分法与条件矩母函数相结合应用于强极限定理研究的新途径.作为推论,得到任意随机序列随机条件概率的一个公平比的强极限定理,并将已有的结果加以推广.In this paper, we study the strong limit theorems on the a.s. convergence for the harmonic mean of the arbitrary stochastic sequence. In the proof, we apply the tools of the conditional moment generating functions and the differentiation on a net to the study of strong limit theorems for the arbitrary stochastic sequence. As cor- ollaries, a limit theorem for fair ratio of the arbitrary stochastic sequence is obtained. Moreover, the result which has been obtained is generalized.

关 键 词：任意随机序列 调和平均 网微分法 条件矩母函数 

分 类 号：O211.6[理学—概率论与数理统计]