Marcinkiewicz–Zygmund inequality for nonnegative NN-demimartingales and related results

In this paper the Marcinkiewicz–Zygmund inequality for mean zero independent random variables is extended to the case of nonnegative NN-demimartingales. This result can be used for obtaining large deviation inequalities for nonnegative NN-demimartingales as well as related complete convergence results.