武汉大学自然科学学报(英文版)2024,Vol.29Issue(1) :21-28.DOI:10.1051/wujns/2024291021

Uniform Asymptotics for Finite-Time Ruin Probabilities of Risk Models with Non-Stationary Arrivals and Strongly Subexponential Claim Sizes

XU Chenghao WANG Kaiyong PENG Jiangyan
武汉大学自然科学学报(英文版)2024,Vol.29Issue(1) :21-28.DOI:10.1051/wujns/2024291021

Uniform Asymptotics for Finite-Time Ruin Probabilities of Risk Models with Non-Stationary Arrivals and Strongly Subexponential Claim Sizes

XU Chenghao 1WANG Kaiyong 1PENG Jiangyan2
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作者信息

  • 1. School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China
  • 2. School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,Sichuan,China
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Abstract

This paper considers the one-and two-dimensional risk models with a non-stationary claim-number process.Under the assump-tion that the claim-number process satisfies the large deviations principle,the uniform asymptotics for the finite-time ruin probability of a one-dimensional risk model are obtained for the strongly subexponential claim sizes.Further,as an application of the result of one-dimensional risk model,we derive the uniform asymptotics for a kind of finite-time ruin probability in a two dimensional risk model sharing a common claim-number process which satisfies the large deviations principle.

Key words

one-dimensional risk model/two-dimensional risk model/large deviations principle/finite-time ruin probability/heavy-tailed distributions

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基金项目

333 High Level Talent Training Project of Jiangsu Province()

National Natural Science Foundation of China(71871046)

Science and Technology Projects of Sichuan Province(2021YFQ0007)

出版年

2024
武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

CSTPCDCSCD
影响因子:0.066
ISSN:1007-1202
参考文献量29
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