机构地区: 衡阳师范学院数学与计算科学系
出 处: 《衡阳师范学院学报》 2003年第3期1-3,共3页
摘 要: 当{Xn≥0}是任意随机变量序列,fn(x0,…,xn)(n≥1)是Rn+1上有界Borel可测函数时,建立了关于泛函序列{f(X0, …,Xn),n 1}的强极限定理,作为推论,得出了关于任意随机变量序列到达某些Borel可测集的频率与条件概率之间的关系。 We studied strong limit theorems of functional {fn(X0,X1,…,Xn),n≥1} for the sequence of arbitrary random random variables {Xn,n≥0},where fn(x0,…,xn)(n≥1)is a bounded Borel measurable function on Rn+1As corollaries,the relations between the frequencies of occurrences of some Borel measurable sets and conditional probability for the sequence of arbitrary random variables are obtained