Abstract Let $X_t=\sum_{k=0}^\infty a_k \varepsilon_{t-k}$ be a long memory moving-average process, this paper achieves a general law of precise asymptotics for $X_t$. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in studies of complete convergence.
LI Yun-xia. A general law of precise asymptotics for long memory processes. Applied Mathematics A Journal of Chinese Universities, 2015, 30(2): 150-156.
