关于任意随机变量序列配重和的一类强偏差定理

A class of strong deviation theorems on arbitrary binary entropy

设{Xn,n≥1}是在E={0,1}中取值的二值随机序列,{an,n≥1}是[0,1]aiXi(ω),本文利用区间剖分法[1],[2]构造单调函数,中取值的一列常数,Wn(ω)=∑ni=1研究任意二值随机序列配重和Wn(ω)的一类用不等式表示的定理,即强偏差定理.

Let {Xn,n≥1}be a random sequence taken values in E={0,1},{an,n≥1} be a series of constants given values in ,that Wn(ω)=∑ni=1aiXi(ω).Monotonic function by the method of splitting interval is constructed,a class of theorems of weighted sums for arbitrary binary random sequence which represented by inequality,i,e,strog deviation theorems is studed.