论文标题
多维索引demimartingales的最大不平等和收敛性结果
Maximal inequalities and convergence results on multidimensionally indexed demimartingales
论文作者
论文摘要
我们获得了多维索引demimartingales的一些最大概率和时刻不平等。尽管已经广泛研究了一类单折射的脱脂型,但对于相应的多索引类随机变量,尚未进行大量工作。这项工作旨在通过将众所周知的不平等和渐近结果扩展到这种更一般的随机变量中,以填补文献中的这一空白。
We obtain some maximal probability and moment inequalities for multidimensionally indexed demimartingales. Although the class of single-indexed demimartingales has been studied extensively, no significant amount of work has been done for the corresponding multiindexed class of random variables. This work aims to fill in this gap in the literature by extending well-known inequalities and asymptotic results to this more general class of random variables.