Theory of Probability &Its Applications, Volume 64, Issue 4, Page 499-512, January 2020.
We find the asymptotics for the logarithm of the Laplace transform of the distribution of a compound renewal process as time increases unboundedly. It is assumed that the elements of the governing sequences of the renewal process satisfy Cramér's moment condition. Representations for the deviation rate function of the compound renewal process are found.

中文翻译：

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复合更新过程分布的拉普拉斯变换的偏差率函数和渐近性的性质

概率论及其应用，第64卷，第4期，第499-512页，2020年1月。
我们发现随着时间的增长，复合更新过程的分布的Laplace变换的对数渐近。假设更新过程的控制序列元素满足克拉梅尔矩条件。找到了复合更新过程的偏差率函数的表示形式。