Sarmanov family of multivariate distributions for bivariate dynamic claim counts model

A Abdallah, JP Boucher, H Cossette - Insurance: Mathematics and …, 2016 - Elsevier
To predict future claims, it is well-known that the most recent claims are more predictive than
older ones. However, classic panel data models for claim counts, such as the multivariate …

Rank-Based Multivariate Sarmanov for Modeling Dependence between Loss Reserves

A Abdallah, L Wang - Risks, 2023 - mdpi.com
The interdependence between multiple lines of business has an important impact on
determining loss reserves and risk capital, which are crucial for the solvency of a property …

Common shock models for claim arrays

B Avanzi, G Taylor, B Wong - ASTIN Bulletin: The Journal of the IAA, 2018 - cambridge.org
The paper is concerned with multiple claim arrays. In recognition of the extensive use by
practitioners of large correlation matrices for the estimation of diversification benefits in …

A claim score for dynamic claim counts modeling

JP Boucher, M Pigeon - arXiv preprint arXiv:1812.06157, 2018 - arxiv.org
We develop a claim score based on the Bonus-Malus approach proposed by [7]. We
compare the fit and predictive ability of this new model with various models for of panel …

On some multivariate Sarmanov mixed Erlang reinsurance risks: Aggregation and capital allocation

G Ratovomirija, M Tamraz, R Vernic - Insurance: Mathematics and …, 2017 - Elsevier
Following some recent works on risk aggregation and capital allocation for mixed Erlang
risks joined by Sarmanov's multivariate distribution, in this paper we present some closed …

On mixed Erlang reinsurance risk: aggregation, capital allocation and default risk

G Ratovomirija - European Actuarial Journal, 2016 - Springer
In this paper, we address the aggregation of dependent stop loss reinsurance risks where
the dependence among the ceding insurer (s) risks is governed by the Sarmanov …

[PDF][PDF] Dependence Between Report Lag and Claim Amounts in Property and Casualty Insurance

N Ahmed, L Farid - Journal of Statistics Applications …, 2023 - digitalcommons.aaru.edu.jo
An essential tool for comprehending the variable of interest is possessing a variable that can
interpret the behavior of another. The concept of dependency has been intensively …

Value-at-Risk-and Expectile-based Systemic Risk Measures and Second-order Asymptotics: With Applications to Diversification

B Geng, Y Liu, Y Zhao - arXiv preprint arXiv:2404.18029, 2024 - arxiv.org
The systemic risk measure plays a crucial role in analyzing individual losses conditioned on
extreme system-wide disasters. In this paper, we provide a unified asymptotic treatment for …

Bivariate Sarmanov phase-type distributions for joint lifetimes modeling

K Moutanabbir, H Abdelrahman - Methodology and Computing in Applied …, 2022 - Springer
In this paper, we are interested in the dependence between lifetimes based on a joint
survival model. This model is built using the bivariate Sarmanov distribution with Phase …

Pairwise versus mutual independence: visualisation, actuarial applications and central limit theorems

G Boglioni Beaulieu - 2023 - unsworks.unsw.edu.au
Accurately capturing the dependence between risks, if it exists, is an increasingly relevant
topic of actuarial research. In recent years, several authors have started to relax the …