The Petersburg paradox and failure probability.
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The 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 Petersburg model may be useful in a variety fields where failure and reliability are critical.
[1] Feller William,et al. An Introduction To Probability Theory And Its Applications , 1950 .
[2] J. Herskowitz,et al. Proceedings of the National Academy of Sciences, USA , 1996, Current Biology.