论文标题
圣彼得堡悖论和失败概率
St. Petersburg paradox and failure probability
论文作者
论文摘要
圣彼得堡悖论为对罕见事件敏感的系统提供了一个简单的范式。在这里,我们使用拉伸裂缝证明了这种悖论的物理实现,并在实验中验证了六十年的空间和时间数据,以及两种不同的材料,裂缝力在对数上依赖于光纤的长度。圣彼得堡模型在失败和可靠性至关重要的各种领域中可能很有用。
The St. Petersburg paradox provides a simple paradigm for systems that show sensitivity to rare events. Here, we demonstrate a physical realization of this paradox using tensile fracture, experimentally verifying for six decades of spatial and temporal data and two different materials that the fracture force depends logarithmically on the length of the fiber. The St. Petersburg model may be useful in a variety fields where failure and reliability are critical.