Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim

This paper considers a by-claim risk model under the asymptotical independence or asymptotical dependence structure between each main claim and its by-claim. In the presence of heavy-tailed main claims and by-claims, we derive some asymptotic behavior for ruin probabilities.

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Main Authors: Yang Yang, Xinzhi Wang, Xiaonan Su, Aili Zhang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/4582404
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author Yang Yang
Xinzhi Wang
Xiaonan Su
Aili Zhang
author_facet Yang Yang
Xinzhi Wang
Xiaonan Su
Aili Zhang
author_sort Yang Yang
collection DOAJ
description This paper considers a by-claim risk model under the asymptotical independence or asymptotical dependence structure between each main claim and its by-claim. In the presence of heavy-tailed main claims and by-claims, we derive some asymptotic behavior for ruin probabilities.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-d4689dbe0bb2473e854a1d355867d81d2025-02-03T01:21:39ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/45824044582404Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-ClaimYang Yang0Xinzhi Wang1Xiaonan Su2Aili Zhang3Department of Statistics, Nanjing Audit University, Nanjing 211815, ChinaDepartment of Statistics, Nanjing Audit University, Nanjing 211815, ChinaDepartment of Statistics, Nanjing Audit University, Nanjing 211815, ChinaDepartment of Statistics, Nanjing Audit University, Nanjing 211815, ChinaThis paper considers a by-claim risk model under the asymptotical independence or asymptotical dependence structure between each main claim and its by-claim. In the presence of heavy-tailed main claims and by-claims, we derive some asymptotic behavior for ruin probabilities.http://dx.doi.org/10.1155/2019/4582404
spellingShingle Yang Yang
Xinzhi Wang
Xiaonan Su
Aili Zhang
Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim
Complexity
title Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim
title_full Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim
title_fullStr Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim
title_full_unstemmed Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim
title_short Asymptotic Behavior of Ruin Probabilities in an Insurance Risk Model with Quasi-Asymptotically Independent or Bivariate Regularly Varying-Tailed Main Claim and By-Claim
title_sort asymptotic behavior of ruin probabilities in an insurance risk model with quasi asymptotically independent or bivariate regularly varying tailed main claim and by claim
url http://dx.doi.org/10.1155/2019/4582404
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AT xinzhiwang asymptoticbehaviorofruinprobabilitiesinaninsuranceriskmodelwithquasiasymptoticallyindependentorbivariateregularlyvaryingtailedmainclaimandbyclaim
AT xiaonansu asymptoticbehaviorofruinprobabilitiesinaninsuranceriskmodelwithquasiasymptoticallyindependentorbivariateregularlyvaryingtailedmainclaimandbyclaim
AT ailizhang asymptoticbehaviorofruinprobabilitiesinaninsuranceriskmodelwithquasiasymptoticallyindependentorbivariateregularlyvaryingtailedmainclaimandbyclaim