Multivariate insurance models: an overview

S Anastasiadis, S Chukova - Insurance: Mathematics and Economics, 2012 - Elsevier
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On a renewal risk process with dependence under a Farlie–Gumbel–Morgenstern copula

S Chadjiconstantinidis, S Vrontos - Scandinavian Actuarial Journal, 2014 - Taylor & Francis
In this article, we consider an extension to the renewal or Sparre Andersen risk process by
introducing a dependence structure between the claim sizes and the interclaim times …

On a ruin model with both interclaim times and premiums depending on claim sizes

Z Li, KP Sendova - Scandinavian Actuarial Journal, 2015 - Taylor & Francis
Under the classical compound Poisson risk model and the Sparre-Andersen risk model, one
crucial assumption is that the interclaim times and the claim sizes are independent …

Markov-dependent risk model with multi-layer dividend strategy

Z Zhou, H Xiao, Y Deng - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, we propose a Markov-dependent risk model with multi-layer dividend strategy
in which the claim occurrence and the claim amount are regulated by an external discrete …

The impact of dependencies between climate risks on the asset and liability side of non-life insurers

N Gatzert, O Özdil - European Actuarial Journal, 2024 - Springer
The aim of this paper is to examine the impact of dependencies between climate transition
and physical risks on the default probability and profitability of a non-life insurer focusing on …

[HTML][HTML] On a risk model with random incomes and dependence between claim sizes and claim intervals

J Xie, W Zou - Indagationes Mathematicae, 2013 - Elsevier
In this paper, we construct a risk model with a dependence setting where there exists a
specific structure among the time between two claim occurrences, premium sizes and claim …

[HTML][HTML] The risk model with stochastic premiums, dependence and a threshold dividend strategy

O Ragulina - Modern Stochastics: Theory and Applications, 2017 - vmsta.org
The paper deals with a generalization of the risk model with stochastic premiums where
dependence structures between claim sizes and inter-claim times as well as premium sizes …

[HTML][HTML] On a discrete-time risk model with general income and time-dependent claims

H Liu, Z Bao - Journal of Computational and Applied Mathematics, 2014 - Elsevier
We consider a discrete-time risk model with general premium rate and time-dependent claim
sizes, in which the interclaim time has an impact on the subsequent claim size. By studying …

Asymptotic finite‐time ruin probabilities for a class of path‐dependent heavy‐tailed claim amounts using Poisson spacings

R Biard, C Lefèvre, S Loisel… - … stochastic models in …, 2011 - Wiley Online Library
In the compound Poisson risk model, several strong hypotheses may be found too restrictive
to describe accurately the evolution of the reserves of an insurance company. This is …

[PDF][PDF] Research on Ruin Probability of Risk Model Based on AR (1) Time Series

W Li, B Wang, T Shen, R Zhu, D Wang - Commun Math Res, 2020 - scholar.archive.org
The insurance industry typically exploits ruin theory on collected data to gain more profits.
However, state-of-art approaches fail to consider the dependency of the intensity of claim …