Ruin probabilities in classical risk models with gamma claims

C Constantinescu, G Samorodnitsky… - Scandinavian Actuarial …, 2018 - Taylor & Francis
In this paper, we provide three equivalent expressions for ruin probabilities in a Cramér–
Lundberg model with gamma distributed claims. The results are solutions of integro …

Queues and risk processes with dependencies

ES Badila, OJ Boxma, JAC Resing - Stochastic Models, 2014 - Taylor & Francis
We study the generalization of the G/G/1 queue obtained by relaxing the assumption of
independence between inter-arrival times and service requirements. The analysis is carried …

[HTML][HTML] Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk

D Kievinaitė, J Šiaulys - Modern Stochastics: Theory and Applications, 2018 - vmsta.org
Abstract Let $\{{\xi _ {1}},{\xi _ {2}},\dots\} $ be a sequence of independent but not necessarily
identically distributed random variables. In this paper, the sufficient conditions are found …

A ruin model with a resampled environment

C Constantinescu, G Delsing, M Mandjes… - Scandinavian …, 2020 - Taylor & Francis
This paper considers a Cramér–Lundberg risk setting, where the components of the
underlying model change over time. We allow the more general setting of the cumulative …

A transient Cramér–Lundberg model with applications to credit risk

G Delsing, M Mandjes - Journal of Applied Probability, 2021 - cambridge.org
This paper considers a variant of the classical Cramér–Lundberg model that is particularly
appropriate in the credit context, with the distinguishing feature that it corresponds to a finite …

Inequalities on the ruin probability for light-tailed distributions with some restrictions

A Bazyari - Communications in Statistics-Theory and Methods, 2024 - Taylor & Francis
When there are some restrictions on the random variables of insurance risk model, it is
impossible to calculate the exact value of ruin probabilities. For these cases, even finding a …

Ruin probability for finite erlang mixture claims via recurrence sequences

L Rincón, DJ Santana - Methodology and Computing in Applied …, 2022 - Springer
A new procedure to find the ultimate ruin probability in the Cramér-Lundberg risk model is
presented for claims with a mixture of m Erlang distributions. The method requires to solve …

Text mining and ruin theory: A case study of research on risk models with dependence

RG Alcoforado, ADE Dos Reis - REVSTAT-Statistical Journal, 2020 - revstat.ine.pt
This paper aims to analyze unstructured data using a text mining approach. The work was
motivated in order to organize and structure research in Risk Theory. In our study, the …

[图书][B] Ruin theory for portfolio risk modeling in banking and insurance

G Delsing - 2022 - pure.uva.nl
The Cambridge dictionary describes risk as “the possibility of something bad happening". An
event that leads to a financial loss can thus be referred to as a risk. In this thesis we discuss …

[HTML][HTML] Ruin probabilities as functions of the roots of a polynomial

DJ Santana, L Rincón - Modern Stochastics: Theory and Applications, 2023 - vmsta.org
A new formula for the ultimate ruin probability in the Cramér–Lundberg risk process is
provided when the claims are assumed to follow a finite mixture of m Erlang distributions …