Extremes and products of multivariate AC-product risks

Y Yang, E Hashorva - Insurance: Mathematics and Economics, 2013 - Elsevier
With motivation from Tang et al.(2011), in this paper we consider a tractable multivariate risk
structure which includes the Sarmanov dependence structure as a special case. We derive …

Copula measures and Sklar's theorem in arbitrary dimensions

FE Benth, G Di Nunno… - Scandinavian Journal of …, 2022 - Wiley Online Library
Although copulas are used and defined for various infinite‐dimensional objects (eg,
Gaussian processes and Markov processes), there is no prevalent notion of a copula that …

[HTML][HTML] Discrete Schur-constant models

A Castañer, MM Claramunt, C Lefèvre… - Journal of Multivariate …, 2015 - Elsevier
This paper introduces a class of Schur-constant survival models, of dimension n, for
arithmetic non-negative random variables. Such a model is defined through a univariate …

On multiply monotone distributions, continuous or discrete, with applications

C Lefèvre, S Loisel - Journal of Applied Probability, 2013 - cambridge.org
This paper is concerned with the class of distributions, continuous or discrete, whose shape
is monotone of finite integer order t. A characterization is presented as a mixture of a …

Multiple risk factor dependence structures: Copulas and related properties

J Su, E Furman - Insurance: Mathematics and Economics, 2017 - Elsevier
Copulas have become an important tool in the modern best practice Enterprise Risk
Management, often supplanting other approaches to modelling stochastic dependence …

[HTML][HTML] The joint distribution of the sum and maximum of dependent Pareto risks

M Arendarczyk, TJ Kozubowski, AK Panorska - Journal of Multivariate …, 2018 - Elsevier
We develop a stochastic model for the sum X and the maximum Y of dependent, heavy-tail
Pareto components. Our results include explicit forms of the probability density and …

Probability of ruin in discrete insurance risk model with dependent Pareto claims

CD Constantinescu, TJ Kozubowski… - Dependence Modeling, 2019 - degruyter.com
We present basic properties and discuss potential insurance applications of a new class of
probability distributions on positive integers with power law tails. The distributions in this …

[HTML][HTML] Computing finite time non-ruin probability and some joint distributions in discrete time risk model with exchangeable claim occurrences

S Eryilmaz, OL Gebizlioglu - Journal of Computational and Applied …, 2017 - Elsevier
In this paper, we study a discrete time risk model based on exchangeable dependent claim
occurrences. In particular, we obtain expressions for the finite time non-ruin probability, and …

Cyber Risk in Insurance: A Quantum Modeling

C Lefèvre, M Tamturk, S Utev, M Carenzo - Risks, 2024 - mdpi.com
In this research, we consider cyber risk in insurance using a quantum approach, with a focus
on the differences between reported cyber claims and the number of cyber attacks that …

Tail asymptotic of Weibull-type risks

E Hashorva, Z Weng - Statistics, 2014 - Taylor & Francis
With motivation from Arendarczyk and De¸ bicki [Asymptotics of supremum distribution of a
Gaussian process over a Weibullian time. Bernoulli. 2011; 17: 194–210], in this paper we …