New stochastic comparisons based on tail value at risk measures

Please use this identifier to cite or link to this item: http://hdl.handle.net/10045/115079
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Title: New stochastic comparisons based on tail value at risk measures
Authors: Belzunce, Félix | Franco-Pereira, Alba M. | Mulero, Julio
Research Group/s: Grupo de Estadística Aplicada (GESTA)
Center, Department or Service: Universidad de Alicante. Departamento de Matemáticas
Keywords: Value at risk | Residual claims | Stochastic orders
Knowledge Area: Estadística e Investigación Operativa
Issue Date: 17-Apr-2020
Publisher: Taylor & Francis
Citation: Communications in Statistics - Theory and Methods. 2022, 51(3): 767-788. https://doi.org/10.1080/03610926.2020.1754857
Abstract: In this article we provide a new criterion for the comparison of claims, when we have conditional claims arising in stop loss contracts or contracts with franchise deductible. These stochastic comparisons are made on the basis of the Tail Value at Risk (also known as conditional tail expectation), just for a fixed level and beyond. In particular, we explain the interest of comparing these quantities, study some preservation properties and, in addition, we provide sufficient conditions for its study. Finally we illustrate its usefulness with some examples.
Sponsor: The research of Félix Belzunce is funded by the Ministerio de Economía, Industria y Competitividad (Spain) under grant MTM2016-79943-P (AEI/FEDER, UE). Alba M. Franco-Pereira acknowledges support received from the Ministerio de Economía y Competitividad (Spain) under grant MTM2017-89422-P and has received financial support from the Xunta de Galicia (Centro Singular de Investigación de Galicia accreditation 2016-2019) and the European Union (European Regional Development Fund - ERDF). She also acknowledges funding from Banco Santander and Complutense University of Madrid (project PR26/16-5B-1). Julio Mulero wants to acknowledge the support received from the Conselleria d’Educació, Investigació, Cultura i Esport (Generalitat de la Comunitat Valenciana) under grant GV/2017/015 and the Ministerio de Economía, Industria y Competitividad (Spain) under grant MTM2016-79943-P (AEI/FEDER, UE).
URI: http://hdl.handle.net/10045/115079
ISSN: 0361-0926 (Print) | 1532-415X (Online)
DOI: 10.1080/03610926.2020.1754857
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2020 Taylor & Francis Group, LLC
Peer Review: si
Publisher version: https://doi.org/10.1080/03610926.2020.1754857
Appears in Collections:INV - GESTA - Artículos de Revistas

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