In the paper, we establish some exponential inequalities for non-identically distributed negatively orthant dependent (NOD, for short) random variables. In addition, we also establish some exponential inequalities for the partial sum and the maximal partial sum of identically distributed NOD random variables. As an application, the Kolmogorov strong law of large numbers for identically distributed NOD random variables is obtained. Our results partially generalize or improve some known results.

中文翻译：

---

负正态相关随机变量的一些指数不等式

在本文中，我们为非相同分布的负正态因变量（简称NOD）随机变量建立了一些指数不等式。此外，我们还为均匀分布的NOD随机变量的部分和和最大部分和建立了一些指数不等式。作为应用，针对相同分布的NOD随机变量获得了大量的Kolmogorov强定律。我们的结果部分概括或改善了一些已知的结果。