The objective of the current study is to determine the fatigue limit of a clean and high-performance material named as HSLA-100 steel and to compare the obtained fatigue limit with that of theoretically predicted fatigue limit by statistics of extreme value (SEV) method. Also, the size of inclusions located at the site of fatigue crack nucleation on the fracture surface of the fatigue test spec...

This paper deals with the extreme value analysis for triangular arrays which appear when some parameters of mixture model vary as number observations grows. When mixing parameter is small, it natural to associate one components “an impurity” (in case regularly varying distribution, “heavy-tailed impurity”), “pollutes” another component. We show that set possible limit distributions much more di...

Counting the number of elements in finite sets Si (where i typically ranges over some index set I such as the non–negative integers or a cartesian product of the non–negative integers) is surely one of the oldest and most fundamental problems in mathematics. It is in the nature of the subject that only a few enumeration problems have a compact solution in terms of a simple explicit formula in i...

Extreme value theory is a practical and useful tool for modeling and quantifying risk. In this article, after introducing basic concepts, we indicate how to apply it within a financial framework.

The tail behavior of sums of dependent risks was considered by Wüthrich (2003) and by Alink et al. (2004, 2005) in the case where the variables are exchangeable and connected through an Archimedean copula model. It is shown here how their result can be extended to a broader class of dependence structures using multivariate extreme-value theory. An explicit form is given for the asymptotic proba...