摘要
利用区间剖分法构造几乎处处收敛的鞅 ,得到了一个对任意 M-值随机变量序列普遍成立的强极限定理 ,作为推论得到一个精细的 Borel-
Construct an a.s. convergence martingale by means of the method of splitting interval and get a general founded strong limit theorem for M-valued r.v.'s, as a corollary, a sharper form of Borel-Cantelli lemma is also obtained.
出处
《纯粹数学与应用数学》
CSCD
2004年第4期327-333,共7页
Pure and Applied Mathematics
基金
安徽省教育厅科研基金资助 ( 2 0 0 4Kj0 69)
关键词
M-值随机序列
鞅
强大数定理
M-valued r.v.'s, martingale, strong law of large numbers