Abstract In this short note, we prove that the stochastic order of Radon probability measures on any ordered topological space is antisymmetric. This has been known before in various special cases. We give a simple and elementary proof of the general result.

中文翻译：

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所有有序拓扑空间上随机序的反对称

摘要 在这个简短的笔记中，我们证明了在任何有序拓扑空间上氡概率测度的随机阶是反对称的。以前在各种特殊情况下都知道这一点。我们给出一般结果的简单和基本的证明。