The finiteness of the collision time between two different randomly moving particles is presented by providing more useful analysis that gives stronger and finite moment. The triangular arrays and the uniform integrability conditions of the all probable positions non-stationary random sequence are used. In addition, an important property of Marcinkiewicz laws of large numbers and Hoffman-Jorgensen inequality are presented in this analysis. All of them are deriving to provide the sufficient conditions that give more stronger moments of the first meeting time in the probability space.

中文翻译：

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两个随机运动粒子第一次碰撞时间的有限性分析

通过提供更有用的分析来呈现两个不同的随机运动粒子之间碰撞时间的有限性，这些分析提供更强和有限的矩。使用了所有可能位置非平稳随机序列的三角形阵列和均匀可积条件。此外，该分析还介绍了马尔辛凯维奇大数定律和 Hoffman-Jorgensen 不等式的一个重要性质。所有这些都在推导提供充分条件，使概率空间中的第一次相遇时间更强大。