摘要
通过极限相对对数似然比,利用随机变量截尾的方法并结合Doob鞅收敛定理这一工具研究相依连续型和离散型随机变量序列的性质,得到了一类强极限定理及用不等式表示的强偏差定理,并推广了一些经典的强大数定律.
By use of limitrelative loglikelihood ratio, truncation method of random variables and Doob martingale convergence theorem. The properties of sequences of dependent continuous and discrete random variables are discussed. A class of strong limit theorems and a class of strong deviation theorems which are represented by inequalities are obtained. And some classical strong laws of large number are generalized.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第3期377-381,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
重庆市教委科研基金资助项目(010702).
