Precise large deviations for \(\phi\)-mixing and UND random variables with long-tailed distributions. (English) Zbl 1371.60057
Summary: In this paper, we investigate the precise large deviations for sums of \(\phi\)-mixing and UND random variables with long-tailed distributions. The asymptotic relations for non-random sum and random sum of random variables with long-tailed distributions are obtained.
MSC:
| 60F10 | Large deviations |
| 60F05 | Central limit and other weak theorems |
| 60G50 | Sums of independent random variables; random walks |
