关于任意二进信源的一类强偏差定理

A Class of strong deviation theorems on arbitrary binary entropy

设 {Xn,n≥ 0}是在 E={0,1}中取值的二进信源， {an,n≥ 1}是 [0， 1]中取值的一列常数， Sn(ω )=aiXi（ω ),本文利用区间剖分法构造单调函数，研究任意二进信源配重和 Sn(ω )的一类用不等式表示的定理，即强偏差定理。

Let {Xn,n≥ 0} be a random sequence taken values in E{ 0,1},{an,n≥ 1}be a series of constants given values in [0， 1],that Sn(ω )=aiXi(ω ).Monotonic function by splitting interval is constructed.A class of theorems of weighted sums for arbityary binary random sequence which represented by inequality,namely strong deviation theorems is studied.