Precise large deviations for widely orthant dependent random variables with different distributions.

Let $X_{i}, i\geq1$ be a sequence of random variables with different distributions $F_{i}, i\geq1$ . The partial sums are denoted by $S_{n}=\sum_{i=1}^{n} X_{i}$ , $n\geq1$ . This paper mainly investigates the precise large deviations of $S_{n}, n\geq1$ , for the widely orthant dependent random variables $X_{i}, i\geq1$ . Under some mild conditions, the lower and upper bounds of the precise large deviations of the partial sums $S_{n}$ , $n\geq1$ , are presented. [ABSTRACT FROM AUTHOR]