[HTML][HTML] On an insurance ruin model with a causal dependence structure and perturbation

Z Li, KP Sendova, C Yang - Journal of Computational and Applied …, 2024 - Elsevier
The classical compound Poisson risk model and the Sparre-Andersen risk model for
insurance businesses assume that the interclaim times and the claim amounts are …

An insurance risk process with a generalized income process: A solvency analysis

Z Wang, D Landriault, S Li - Insurance: Mathematics and Economics, 2021 - Elsevier
In ruin theory, an insurer's income process is usually assumed to grow at a deterministic rate
of c> 0 over time. For instance, both the well-known Cramér–Lundberg risk process and the …

Measuring the impact of a bonus-malus system in finite and continuous time ruin probabilities for large portfolios in motor insurance

LB Afonso, RMR Cardoso, ADE dos Reis… - ASTIN Bulletin: The …, 2017 - cambridge.org
Motor insurance is a very competitive business where insurers operate with quite large
portfolios, often decisions must be taken under short horizons and therefore ruin …

Ruin under stochastic dependence between premium and claim arrivals

M Vidmar - Scandinavian Actuarial Journal, 2018 - Taylor & Francis
We investigate, focusing on the ruin probability, an adaptation of the Cramér–Lundberg
model for the surplus process of an insurance company, in which, conditionally on their …

The exponential estimate of the ultimate ruin probability for the non-homogeneous renewal risk model

E Kizinevič, J Šiaulys - Risks, 2018 - mdpi.com
In this work, the non-homogeneous risk model is considered. In such a model, claims and
inter-arrival times are independent but possibly non-identically distributed. The easily …

Discrete‐Time Risk Model With Time‐Varying Premiums: Analysis of Ruin Probabilities

D Osatakul, S Li, X Wu - Applied Stochastic Models in Business …, 2024 - Wiley Online Library
Our paper explores a discrete‐time risk model with time‐varying premiums, investigating two
types of correlated claims: main claims and by‐claims. Settlement of the by‐claims can be …

Ruin probabilities in a Sparre Andersen model with dependency structure based on a threshold window

ECK Cheung, S Dai, W Ni - Annals of Actuarial Science, 2018 - cambridge.org
We analyse ruin probabilities for an insurance risk process with a more generalised
dependence structure compared to the one introduced in Constantinescu et al.(2016). In this …

Bonus-malus Systems vs Delays in Claims Reporting and Settlement: Analysis of Ruin Probabilities

D Osatakul, S Li, X Wu - arXiv preprint arXiv:2408.00003, 2024 - arxiv.org
Our paper explores a discrete-time risk model with time-varying premiums, investigating two
types of correlated claims: main claims and by-claims. Settlement of the by-claims can be …

Discrete-time risk models with surplus-dependent premium corrections

D Osatakul, S Li, X Wu - Applied Mathematics and Computation, 2023 - Elsevier
This paper studies discrete-time risk models with insurance premiums adjusted according to
claims experience. The premium correction mechanism follows the well-known principle in …

A Study of Assessment of Casinos' Risk of Ruin in Casino Games with Poisson Distribution

KM Siu, KH Chan, SK Im - Mathematics, 2023 - mdpi.com
Gambling, as an uncertain business involving risks confronting casinos, is commonly
analysed using the risk of ruin (ROR) formula. However, due to its brevity, the ROR does not …