On the statistical theory of fractured location combined with competing risk theory and its some applications.

Abstract
Finnie et al. developed the statistical theory of fractured location which can estimate not only fracture stress but also fractured location. Some researchers analysed several problems using this theory and proved its validity. However, these studies are restricted to only one kind of fracture origin. In this work we have suggested a new theory combining the competing risk theory with the statistical theory of fractured location. Using this theory we derived the distributions of fractured location, corrected stress (a stress at the location of the fracture origin), the depth of the fracture good.

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