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Extreme value theory and the St. Petersburg paradox in the failure statistics of wires
Journal of Statistical Mechanics: Theory and Experiment ( IF 2.4 ) Pub Date : 2021-05-04 , DOI: 10.1088/1742-5468/abfa20
Alessandro Taloni 1 , Stefano Zapperi 2, 3
Affiliation  

The fracture stress of materials typically depends on the sample size and is traditionally explained in terms of extreme value statistics. A recent work reported results on the carrying capacity of long polyamide and polyester wires and interpret the results in terms of a probabilistic argument known as the St. Petersburg paradox. Here, we show that the same results can be better explained in terms of extreme value statistics. We also discuss the relevance of rate dependent effects.



中文翻译:

电线故障统计中的极值理论和圣彼得堡悖论

材料的断裂应力通常取决于样本大小,传统上用极值统计来解释。最近的一项工作报告了长聚酰胺和聚酯线的承载能力的结果,并根据称为圣彼得堡悖论的概率论点来解释结果。在这里,我们表明可以用极值统计更好地解释相同的结果。我们还讨论了速率相关效应的相关性。

更新日期:2021-05-04
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