Abstract: Let the service time {X_n, n≥1} be a nonnegative nonstationary negatively associated (NA) random variable sequence and N(t) be the renewal process generated by {X_n, n≥1}. By the results of  the precise asymptotics for the partial sums of NA sequence and the relations between S_n and N(t), that is {N(t)n>t}, we proved the precise asymptotics for renewal processes of nonstationary NA sequences.

Key words: precise asymptotics, renewal process, nonstationary;  , negatively associated (NA) sequence