Multiplicative background risk models: Setting a course for the idiosyncratic risk factors distributed phase-type

E Furman, Y Kye, J Su - Insurance: Mathematics and Economics, 2021 - Elsevier
Multiplicative background risk models in which the idiosyncratic risk factors are assumed to
be distributed exponentially, and the systemic risk factor has an arbitrary distribution on the …

Modelling distribution of aggregate expenditure on tourism

E Gómez–Déniz, JV Pérez–Rodríguez - Economic Modelling, 2019 - Elsevier
The aim of this article is to obtain a statistical distribution that describes the aggregate
expenditure of tourists related to their length of stay at a given location. This distribution …

Risk aggregation and capital allocation using a new generalized Archimedean copula

F Marri, K Moutanabbir - Insurance: Mathematics and Economics, 2022 - Elsevier
In this paper, we address risk aggregation and capital allocation problems in the presence of
dependence between risks. The dependence structure is defined by a mixed Bernstein …

Aggregation of dependent risks in mixtures of exponential distributions and extensions

JM Sarabia, E Gómez-Déniz, F Prieto… - ASTIN Bulletin: The …, 2018 - cambridge.org
The distribution of the sum of dependent risks is a crucial aspect in actuarial sciences, risk
management and in many branches of applied probability. In this paper, we obtain analytic …

Copula representations for the sum of dependent risks: models and comparisons

J Navarro, JM Sarabia - Probability in the Engineering and …, 2022 - cambridge.org
The study of the distributions of sums of dependent risks is a key topic in actuarial sciences,
risk management, reliability and in many branches of applied and theoretical probability …

Holistic principle for risk aggregation and capital allocation

WF Chong, R Feng, L Jin - Annals of Operations Research, 2023 - Springer
Risk aggregation and capital allocation are of paramount importance in business, as they
play critical roles in pricing, risk management, project financing, performance management …

Inference for the tail conditional allocation: large sample properties, insurance risk assessment, and compound sums of concomitants

NV Gribkova, J Su, R Zitikis - Insurance: Mathematics and Economics, 2022 - Elsevier
We derive consistency, asymptotic normality, and standard error estimation for the tail
conditional allocation, also known as the marginal expected shortfall, under minimal …

Weighted risk capital allocations in the presence of systematic risk

E Furman, A Kuznetsov, R Zitikis - Insurance: Mathematics and Economics, 2018 - Elsevier
Determining aggregate risk capital is a fundamental problem of modern Enterprise Risk
Management, and the determination process has been fairly well studied. The allocation …

Determination of the natural disaster insurance premiums by considering the mitigation fund reserve decisions: An application of collective risk model

S Sukono, K Kalfin, R Riaman, S Supian… - Decision Science …, 2022 - m.growingscience.com
In Indonesia, natural disasters cases have significantly increased from time to time and have
the largest impact on economic losses. To avoid losses in the future due to natural disasters …

Project portfolio construction using extreme value theory

J Tamošaitienė, V Yousefi, H Tabasi - Sustainability, 2021 - mdpi.com
Choosing proper projects has a great impact on organizational success. Firms have various
factors for choosing projects based on their different objectives and strategies. The problem …