[HTML][HTML] Effective estimation algorithm for parameters of multivariate Farlie–Gumbel–Morgenstern copula

S Ota, M Kimura - Japanese Journal of Statistics and Data Science, 2021 - Springer
This paper focuses on the parameter estimation for the d-variate Farlie–Gumbel–
Morgenstern (FGM) copula (d ≥ 2 d≥ 2), which has 2^ dd-1 2 dd-1 dependence …

[HTML][HTML] Orthogonal decomposition of multivariate densities in Bayes spaces and relation with their copula-based representation

C Genest, K Hron, JG Nešlehová - Journal of Multivariate Analysis, 2023 - Elsevier
Bayes spaces were initially designed to provide a geometric framework for the modeling and
analysis of distributional data. It has recently come to light that this methodology can be …

Risk aggregation with FGM copulas

C Blier-Wong, H Cossette, E Marceau - Insurance: Mathematics and …, 2023 - Elsevier
We offer a new perspective on risk aggregation with FGM copulas. Along the way, we
discover new results and revisit existing ones, providing simpler formulas than one can find …

A copula-based exponential probabilistic model for factor-dependence social sustainability assessment

F Khosravi, G Izbirak - Environment, Development and Sustainability, 2023 - Springer
Social bottom line has been acknowledged as a significant indicator for sustainability index
measurement in the supply chain management. The use of resources sourced at national …

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 …

On some properties of a class of multivariate Erlang mixtures with insurance applications

GE Willmot, JK Woo - ASTIN Bulletin: The Journal of the IAA, 2015 - cambridge.org
We discuss some properties of a class of multivariate mixed Erlang distributions with
different scale parameters and describes various distributional properties related to …

GlueVaR risk measures in capital allocation applications

J Belles-Sampera, M Guillén, M Santolino - Insurance: Mathematics and …, 2014 - Elsevier
GlueVaR risk measures defined by Belles-Sampera et al.(2014) generalize the traditional
quantile-based approach to risk measurement, while a subfamily of these risk measures has …

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 …

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 …

Risk aggregation in multivariate dependent Pareto distributions

JM Sarabia, E Gómez-Déniz, F Prieto… - Insurance: Mathematics …, 2016 - Elsevier
In this paper we obtain closed expressions for the probability distribution function of
aggregated risks with multivariate dependent Pareto distributions. We work with the …