34132

Автор(ов): 

1

Параметры публикации
Тип публикации: 
Доклад
Название: 
Hitting times of threshold exceedances and their distributions
ISBN/ISSN: 
978-84-9844-496-4
Наименование конференции: 
Current Topics on Risk Analysis: ICRA6 and Risk 2015 Conference (Barcelona)
Наименование источника: 
Proceedings of the International Conference "Current Topics on Risk Analysis: ICRA6 and Risk" (Barcelona, 2015)
Город: 
Мадрид
Издательство: 
FUNDACIÓN MAPFRE
Год издания: 
2015
Страницы: 
507-514
Аннотация
We investigate exceedances of the process over a sufficiently high threshold. The exceedances determine the risk of hazardous events like climate catastrophes, huge insurance claims, the loss and delay in telecommunication networks. Due to dependence such exceedances tend to occur in clusters. Cluster structure of social networks is caused by dependence (social relationships and interests) between nodes and possibly heavy-tailed distributions of the node degrees. A minimal time to reach a large node determines the first hitting time. We derive asymptotically equivalent distribution and a limit expectation of the first hitting time to exceed the threshold $u_n$ as sample size $n$ tends to infinity. The results can be extended to the second and, generally, to $k$th ($k>2$) hitting times.
Библиографическая ссылка: 
Маркович Н.М. Hitting times of threshold exceedances and their distributions / Proceedings of the International Conference "Current Topics on Risk Analysis: ICRA6 and Risk" (Barcelona, 2015). Мадрид: FUNDACIÓN MAPFRE, 2015. С. 507-514.