AANA序列的新Hjek-Rényi型不等式

A New Hjek-Rényi-type Inequality for AANA Sequences

证明了3·2k-1<p≤4·2k-1条件下的AANA随机变量序列的Hjek-Rényi型不等式,并给出了AANA序列部分和的收敛定理和上确界的可积性定理等应用.

In this paper,we prove some new Hájek-Rényi-type inequalities of AANA random variables in the case of 3 · 2^k-1 〈p ≤4 · 2^k-1.We also show the convergence of partial sums and the integrability of supremum for AANA random variables.