Weak and strong laws of large numbers for asymptotic negatively associated random variables

Abstract

For a sequence of asymptotic negatively associated and identically distributed
random variables, we show a maximal weak law of large numbers and two general strong laws
of large numbers in which the coefficient of sum and the weight are both general functions.
As a consequence, we obtain the Marcinkiewicz strong law of large numbers. Finally, we
get a Chung type strong law of large numbers for asymptotic negatively associated random
variables.