Lifetime dependence models generated by multiply monotone functions

Alai, Daniel and Landsman, Zinoviy (2017) Lifetime dependence models generated by multiply monotone functions. Scandinavian Actuarial Journal, . ISSN 0346-1238. (doi:https://doi.org/10.1080/03461238.2017.1405840) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

We study a family of distributions generated from multiply monotone functions that includes a multivariate Pareto and, previously unidentified, exponential-Pareto distribution. We utilize an established link with Archimedean survival copulas to provide further examples, including a multivariate Weibull distribution, that may be used to fit light, or heavy-tailed phenomena, and which exhibit various forms of dependence, ranging from positive to negative. Because the model is intended for the study of joint lifetimes, we consider the effect of truncation and formulate properties required for a number of parameter estimation procedures based on moments and quantiles. For the quantile-based estimation procedure applied to the multivariate Weibull distribution, we also address the problem of optimal quantile selection.

Item Type: Article
Uncontrolled keywords: Multiply monotone functions; Archimedean survival copulas; Pareto distribution; Weibull distribution; Multivariate truncation
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Actuarial Science
Depositing User: Daniel Alai
Date Deposited: 01 Dec 2017 09:40 UTC
Last Modified: 30 May 2018 10:25 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/64924 (The current URI for this page, for reference purposes)
Alai, Daniel: https://orcid.org/0000-0001-7989-784X
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