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Astin Bulletin
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JOINT LIFE INSURANCE PRICING USING EXTENDED MARSHALL–OLKIN MODELS

Joint life insurance pricing using extended Marshall-Olkin models
Authors: Gobbi, Fabio; Kolev, Nikolai; Mulinacci, Sabrina;

JOINT LIFE INSURANCE PRICING USING EXTENDED MARSHALL–OLKIN MODELS

Abstract

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.

Country
Italy
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Top 10%
Green
bronze