Abstract Given a sum of a finite number of independent random variables, the asymptotic behavior of its distributions and densities at infinity is investigated in the case when the densities or tails of these distributions decrease faster than the densities or tails of gamma distributions.

中文翻译：

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具有快速递减分布尾的独立随机变量和的大偏差

摘要 给定有限数量的独立随机变量之和，研究了当这些分布的密度或尾部比伽马分布的密度或尾部减小得更快的情况下，其分布和密度在无穷远处的渐近行为。