On Some Maximal Inequalities for Demisubmartingales and $N-$demisuper Martingales

摘要

We study maximal inequalities for demisubmartingales and N-demisupermartingales and obtain inequalities between dominated demisubmartingales. A sequence of partial sums of zero mean associated random variables is an example of a demimartingale and a sequence of partial sums of zero mean negatively associated random variables is an example of a N-demimartingale.