Risk processes analyzed as fluid queues

2005 ◽  
Vol 2005 (2) ◽  
pp. 127-141 ◽  
Author(s):  
Andrei Badescu ◽  
Lothar Breuer ◽  
Ana Da Silva Soares ◽  
Guy Latouche ◽  
Marie-Ange Remiche ◽  
...  
Keyword(s):  
Author(s):  
Seyed Morteza Hatefi ◽  
Abdorrahman Haeri ◽  
Mehdi Fasanghari

2021 ◽  
Vol 14 (5) ◽  
pp. 202
Author(s):  
Miriam Hägele ◽  
Jaakko Lehtomaa

Modern risk modelling approaches deal with vectors of multiple components. The components could be, for example, returns of financial instruments or losses within an insurance portfolio concerning different lines of business. One of the main problems is to decide if there is any type of dependence between the components of the vector and, if so, what type of dependence structure should be used for accurate modelling. We study a class of heavy-tailed multivariate random vectors under a non-parametric shape constraint on the tail decay rate. This class contains, for instance, elliptical distributions whose tail is in the intermediate heavy-tailed regime, which includes Weibull and lognormal type tails. The study derives asymptotic approximations for tail events of random walks. Consequently, a full large deviations principle is obtained under, essentially, minimal assumptions. As an application, an optimisation method for a large class of Quota Share (QS) risk sharing schemes used in insurance and finance is obtained.


2018 ◽  
Vol 80 ◽  
pp. 29-44 ◽  
Author(s):  
Kei Noba ◽  
José-Luis Pérez ◽  
Kazutoshi Yamazaki ◽  
Kouji Yano
Keyword(s):  

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