整值随机序列滑动平均的若干小偏差定理

Some Small Deviation Theorems on Moving Average of Partial Sums for Arbitrary Integral Random Sequences

研究任意整值随机序列部分和滑动平均的小偏差定理 ,在适当的条件下 ,有 :liminfN h- 1(N) ∑N +h(N)i=NXi ≥α(c) ,limsupN h- 1(N) ∑N +h(N)i=NXi≤ β(c)

In this paper,we study small deviation theorems of moving average for arbitrary integral random sequences.In suitable restrict condition,we have\ lim infN h -1(N)∑N+h(N)i=NX i≥α(c), lim supN h -1(N)∑N+h(N)i=N X i≤β(c)