三角阵列的中偏差

Moderate deviations for triangular arrays

利用截尾方法在一定尾概率条件下得到了三角阵列{Xn,j;1≤j≤kn,n≥1}的中偏差,其中{kn;n≥1}是一列严格单调递增的正整数且对任意的正整数n,{Xn,j;1≤j≤kn}是独立同分布的.

Using the method of truncation,we get the moderate deviations for triangular arrays of randomvariables {Xn,j;1≤j≤kn,n≥1} under some conditions of tail probability,where {kn;n≥1} is a sequence ofstrictly increasing positive integers and for any fixed n,{Xn,j;1≤j≤kn} are i.i.d.