Abstract: Negatively Associated (NA) random variables are a more general class of random variables which include a set of independent random variables and have been applied to many practical fields. It is well known that Teicher proved a strong law of large numbers for independent random variables. By me ans of some probability inequalities of NA random variables, under the weaker conditions than those in the case of independent random variables, we established some theorems on the strong law of large numbers for NA random variables with different distributions. Teicher’s results have thus been extended to the negatively associated random variables.

Key words: NA random variables, probability inequalities, strong law of the large numbers