
doi: 10.1017/asb.2019.3
handle: 11365/1118168 , 11585/696497
AbstractIn this paper we suggest a modeling of joint life insurance pricing via Extended Marshall–Olkin (EMO) models and related copulas. These models are based on the combination of two approaches: the absolutely continuous copula approach, where the copula is used to capture dependencies due to environmental factors shared by the two lives, and the classical Marshall–Olkin model, where the association is given by accounting for a fatal event causing the simultaneous death of the two lives. New properties of the EMO model are established and applied to a sample of censored residual lifetimes of couples of insureds extracted from a data set of annuities contracts of a large Canadian life insurance company. Finally, some joint life insurance products are analyzed.
Applications of statistics to actuarial sciences and financial mathematics, Bivariate Marshall–Olkin’s model, Risk theory, insurance, copula, Bivariate Marshall–Olkin’s model; copula; mortality intensity; singularity; joint life insurance products, bivariate Marshall-Olkin's model, joint life insurance products, Characterization and structure theory for multivariate probability distributions; copulas, mortality intensity, singularity, Bivariate Marshall–Olkin’s model; copula; mortality intensity; singularity; joint life insurance products.
Applications of statistics to actuarial sciences and financial mathematics, Bivariate Marshall–Olkin’s model, Risk theory, insurance, copula, Bivariate Marshall–Olkin’s model; copula; mortality intensity; singularity; joint life insurance products, bivariate Marshall-Olkin's model, joint life insurance products, Characterization and structure theory for multivariate probability distributions; copulas, mortality intensity, singularity, Bivariate Marshall–Olkin’s model; copula; mortality intensity; singularity; joint life insurance products.
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