Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models

We consider a dependent multirisk model in insurance, where all the claims constitute a linearly extended negatively orthant dependent (LENOD) random array, and then upper and lower bounds for precise large deviations of nonrandom and random sums of random variables with dominated variation are inve...

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Main Authors: Shijie Wang, Xuejun Wang, Wensheng Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/972029
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author Shijie Wang
Xuejun Wang
Wensheng Wang
author_facet Shijie Wang
Xuejun Wang
Wensheng Wang
author_sort Shijie Wang
collection DOAJ
description We consider a dependent multirisk model in insurance, where all the claims constitute a linearly extended negatively orthant dependent (LENOD) random array, and then upper and lower bounds for precise large deviations of nonrandom and random sums of random variables with dominated variation are investigated. The obtained results extend some related existing ones.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-408655f275aa448394c6c3c92a77f09d2025-02-03T06:42:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/972029972029Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk ModelsShijie Wang0Xuejun Wang1Wensheng Wang2School of Mathematic Sciences, Anhui University, Hefei, Anhui 230601, ChinaSchool of Mathematic Sciences, Anhui University, Hefei, Anhui 230601, ChinaDepartment of Mathematics, Hangzhou Normal University, Hangzhou 310036, ChinaWe consider a dependent multirisk model in insurance, where all the claims constitute a linearly extended negatively orthant dependent (LENOD) random array, and then upper and lower bounds for precise large deviations of nonrandom and random sums of random variables with dominated variation are investigated. The obtained results extend some related existing ones.http://dx.doi.org/10.1155/2014/972029
spellingShingle Shijie Wang
Xuejun Wang
Wensheng Wang
Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models
Abstract and Applied Analysis
title Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models
title_full Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models
title_fullStr Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models
title_full_unstemmed Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models
title_short Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models
title_sort precise large deviations of aggregate claims with dominated variation in dependent multi risk models
url http://dx.doi.org/10.1155/2014/972029
work_keys_str_mv AT shijiewang preciselargedeviationsofaggregateclaimswithdominatedvariationindependentmultiriskmodels
AT xuejunwang preciselargedeviationsofaggregateclaimswithdominatedvariationindependentmultiriskmodels
AT wenshengwang preciselargedeviationsofaggregateclaimswithdominatedvariationindependentmultiriskmodels