Precise large deviation for sums of negatively associated \\[5pt]heavy-tailed random variables in $\mathcal{D}\cap\mathcal{L
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摘要: 利用重尾分布类$\mathcal{D}\cap\mathcal{L}$性质的刻画，得到了重尾分布类$\mathcal{D}\cap\mathcal{L}$中负相伴重尾随机变量和(随机和与非随机和)的精确大偏差， 而重尾分布类$\mathcal{D}\cap\mathcal{L}$是严格包含$\mathcal{C}$的，从而首次将现有的精确大偏差结果推广到更大的重尾分布子类上Abstract: By using the characterization of heavy-tailed random variables in $\mathcal{D}\cap\mathcal{L}$, precise large deviations for sums (nonrandom sums and random sums) of negatively associated heavy-tailed random variables in $\mathcal{D}\cap\mathcal{L}$ were obtained, where the subclass $\mathcal{D}\cap\mathcal{L}$ strictly contains $\mathcal{C}$. Therefore, it firstly extends some existed precise large deviation results to some larger subclasses of heavy tailed distributions.
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