Modeling the dependent competing risks with multiple degradation processes and random shock using time-varying copulas

Y Wang, H Pham - IEEE Transactions on Reliability, 2011 - ieeexplore.ieee.org
We develop s-dependent competing risk model for systems subject to multiple degradation
processes and random shocks using time-varying copulas. The proposed model allows for a …

New research directions in modern actuarial sciences

E Bulinskaya - Modern Problems of Stochastic Analysis and Statistics …, 2017 - Springer
The aim of the paper is to outline the new trends in modern actuarial sciences in order to
help the researchers to find new domains of activity and university professors teaching future …

The strong law of large numbers for extended negatively dependent random variables

Y Chen, A Chen, KW Ng - Journal of Applied Probability, 2010 - cambridge.org
A sequence of random variables is said to be extended negatively dependent (END) if the
tails of its finite-dimensional distributions in the lower-left and upper-right corners are …

Subexponential tails of discounted aggregate claims in a time-dependent renewal risk model

J Li, Q Tang, R Wu - Advances in Applied Probability, 2010 - cambridge.org
Consider a continuous-time renewal risk model with a constant force of interest. We assume
that claim sizes and interarrival times correspondingly form a sequence of independent and …

[PDF][PDF] Applications of fluid flow matrix analytic methods in ruin theory, a review

AL Badescu, D Landriault - Revista de la Real Academia de Ciencias …, 2009 - rac.es
In this paper, we present a unified probabilistic approach to analyze a wide class of
insurance risk models in a ruin theoretical context. Contrary to the traditional analytic …

Multivariate distribution defined with Farlie–Gumbel–Morgenstern copula and mixed Erlang marginals: Aggregation and capital allocation

H Cossette, MP Côté, E Marceau… - Insurance: Mathematics …, 2013 - Elsevier
In this paper, we investigate risk aggregation and capital allocation problems for a portfolio
of possibly dependent risks whose multivariate distribution is defined with the Farlie …

Structural properties of Gerber–Shiu functions in dependent Sparre Andersen models

ECK Cheung, D Landriault, GE Willmot… - Insurance: Mathematics …, 2010 - Elsevier
The structure of various Gerber–Shiu functions in Sparre Andersen models allowing for
possible dependence between claim sizes and interclaim times is examined. The penalty …

Precise large deviations of aggregate claims in a size-dependent renewal risk model

Y Chen, KC Yuen - Insurance: Mathematics and Economics, 2012 - Elsevier
Consider a renewal risk model in which claim sizes and inter-arrival times correspondingly
form a sequence of independent and identically distributed random pairs, with each pair …

Regret in the newsvendor model with demand and yield randomness

Z Chen, W Xie - Production and Operations Management, 2021 - journals.sagepub.com
We study the fundamental stochastic newsvendor model that considers both demand and
yield randomness. It is usually difficult in practice to describe precisely the joint demand and …

Dependent risk models with bivariate phase-type distributions

AL Badescu, ECK Cheung… - Journal of Applied …, 2009 - cambridge.org
In this paper we consider an extension of the Sparre Andersen insurance risk model by
relaxing one of its independence assumptions. The newly proposed dependence structure …