任意随机序列关于随机选择系统的一类强极限定理  

A Class of Strong Limit Theorems for Arbitrary Stochastic Sequence in Random Selection System

作　　者：王康康[1] 秦忠[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003

出　　处：《江苏科技大学学报（自然科学版）》2006年第6期40-44,共5页Journal of Jiangsu University of Science and Technology:Natural Science Edition

摘　　要：主要研究任意随机序列在随机选择系统中的随机条件概率其调和平均的强极限定理。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随机选择系统强极限定理研究的一种途径。作为推论,得到m重非齐次马氏链的一个强极限定理,并将已有的结果加以推广。The strong limit theorems on the arbitrary stochastic convergence for the harmonic mean of the random conditional probabilities in the random selection system is studied. In the proof, the tools of the conditional moment generating function and the differentiation on a net for the study on strong limit theorems in the random selection system are applied. As corollaries, a limit theorem for the mth-order nonhomogeneous Markov chains is obtained. Moreover. The results obtained are generalized.

关 键 词：随机选择系统 调和平均 网微分法 条件矩母函数 m重非齐次马氏链 

分 类 号：O211.4[理学—概率论与数理统计]