利用渐近线性坐标负相依(ALNQD)序列最大值的矩不等式,得到了行为ALNQD阵列加权和最大值的完全收敛性定理,并利用该定理证明了ALNQD序列加权和最大值的Marcinkiewicz-Zygmund型强大数定律.
We obtained a complete convergence theorem for maximum of weighted sums of arrays of rowwise asymptotically linear negative quadrant dependent (ALNQD) by using the moment inequalities for maximum of ALNQD sequences, and proved a Marcinkiewiez-Zygmund type strong law of large numbers for maximum of weighted sums of ALNQD sequences by using the proposed theorem.