Let Tn=∑ni=1XiYi,n≥1,where {Xn,n≥1} is a sequence of random variables,and {Yn,n≥1} is a sequence of nonnegative,independent random variables and independent of the Xi s.In 2012,some maximal inequalities are established for Tn by Christofdes and Hadjikyriakou when {Xn,n≥1} is a negatively associated sequence.In this paper,Chow type and Doob type maximal inequalities and a moment inequality are obtained for Tn when {Xn,n≥1} is a positively associated sequence.%令Tn=∑ni=1XiYi,n≥1,这里{Xn,n≥1}是一列随机变量序列,{Yn,n≥1}是一列相互独立的非负随机变量序列,且独立于Xi.文献[9]给出了当{Xn,n≥1}是一个NA序列时,关于Tn的一些极大值不等式.经证明,给出了当{Xn,n≥1}是一个PA序列时,关于Tn的Chow型和Doob型极大值不等式和一个矩不等式.
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