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We investigate an insurance risk model that consists of two reserves which receive income at fixed rates. Claims are being requested at random epochs from each reserve and the interclaim times are generally distributed. The two reserves are coupled in the sense that at a claim arrival epoch,...
Persistent link: https://www.econbiz.de/10011263839
large loss in the portfolio or, in the case of a portfolio with a positive dependence structure, to an unusually large loss … is considered alone. We also study, given two random vectors with a fixed dependence structure, the circumstances under …
Persistent link: https://www.econbiz.de/10011263848
independent and identically distributed random pairs, with each pair obeying a dependence structure described via the conditional …
Persistent link: https://www.econbiz.de/10010594512
Systematic improvements in mortality increases dependence in the survival distributions of insured lives, which is not … portfolios. This paper applies a multivariate gamma distribution to incorporate dependence. Lifetimes are modelled using a … truncated multivariate gamma distribution that induces dependence through a shared gamma distributed component. Model parameter …
Persistent link: https://www.econbiz.de/10010665838
simulation that include the potential dependence between the durations, i.e. the inter-arrival times, in two successive states …. The proposed model is compared with two alternative models that do not include this dependence. …
Persistent link: https://www.econbiz.de/10010719111
In this paper, we introduce a multivariate aggregate loss model, where multiple categories of losses are considered. The model assumes that different types of claims arrive according to a Marked Markovian arrival process (MMAP) introduced by He and Neuts (1998) in the queuing literature. This...
Persistent link: https://www.econbiz.de/10011046565
trends affecting different age groups at different times. From a statistical point of view, this indicates a dependence … structure. Also the dependence between ages is an important component in the modeling of mortality (Barrieu et al., 2011). It is … to be high (as noted in Denton et al., 2005). This suggests that there is value in exploring the dependence structure …
Persistent link: https://www.econbiz.de/10011046617
–Pratt coefficient of absolute risk aversion) and the strength of dependence featured by the corresponding Archimedean copula. Some new … copula families are derived, and their properties are discussed. A numerical example about modeling dependence of coupled …
Persistent link: https://www.econbiz.de/10011116634
random pair (X,Y) with dependent components. When the product XY is heavy tailed, under a mild restriction on the dependence …
Persistent link: https://www.econbiz.de/10011116639
dependence structures between the summands. The obtained expression for the distribution of the sum features a separation … property into marginal and dependence structure contributions typical for copula approaches. Along the same lines we obtain the …
Persistent link: https://www.econbiz.de/10011116644