On the evaluation of finite-time ruin probabilities in a dependent risk model

被引:7
|
作者
Dimitrova, Dimitrina S. [1 ]
Kaishev, Vladimir K. [1 ]
Zhao, Shouqi [1 ]
机构
[1] City Univ London, Fac Actuarial Sci & Insurance, Cass Business Sch, London EC1Y 8TZ, England
关键词
Finite time ruin probability; Dependent risk modeling; Appell polynomials; Numerical implementation; Order statistics; INSURANCE;
D O I
10.1016/j.amc.2015.11.082
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper establishes some enlightening connections between the explicit formulas of the finite-time ruin probability obtained by Ignatovand Kaishev (2000, 2004) and Ignatov et al. (2001) for a risk model allowing dependence. The numerical properties of these formulas are investigated and efficient algorithms for computing ruin probability with prescribed accuracy are presented. Extensive numerical comparisons and examples are provided. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:268 / 286
页数:19
相关论文
共 50 条
  • [21] Asymptotic behavior for finite-time ruin probabilities in a generalized bidimensional risk model with subexponential claims
    Fengyang Cheng
    Dongya Cheng
    Zhangting Chen
    Japan Journal of Industrial and Applied Mathematics, 2021, 38 : 947 - 963
  • [22] Finite-time and infinite-time ruin probabilities in a two-dimensional delayed renewal risk model with Sarmanov dependent claims
    Yang, Yang
    Yuen, Kam C.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (02) : 600 - 626
  • [23] Finite-Time Ruin Probabilities of Bidimensional Risk Models with Correlated Brownian Motions
    Zhu, Dan
    Zhou, Ming
    Yin, Chuancun
    MATHEMATICS, 2023, 11 (12)
  • [24] Estimates for the Finite-Time Ruin Probability of a Time-Dependent Risk Model with a Brownian Perturbation
    Wang, Kaiyong
    Cui, Yongfang
    Mao, Yanzhu
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [25] Asymptotic Finite-Time Ruin Probabilities for a Bidimensional Delay-Claim Risk Model with Subexponential Claims
    Lu, Dawei
    Yuan, Meng
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2022, 24 (04) : 2265 - 2286
  • [26] Finite-time ruin probability of a perturbed risk model with dependent main and delayed claims
    Yang, Yang
    Wang, Xinzhi
    Zhang, Zhimin
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (05): : 801 - 820
  • [27] Asymptotic Finite-Time Ruin Probabilities for a Bidimensional Delay-Claim Risk Model with Subexponential Claims
    Dawei Lu
    Meng Yuan
    Methodology and Computing in Applied Probability, 2022, 24 : 2265 - 2286
  • [28] THE FINITE-TIME RUIN PROBABILITY FOR AN INHOMOGENEOUS RENEWAL RISK MODEL
    Bernackaite, Emilija
    Siaulys, Jonas
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2017, 13 (01) : 207 - 222
  • [29] A Fourier-cosine method for finite-time ruin probabilities
    Lee, Wing Yan
    Li, Xiaolong
    Liu, Fangda
    Shi, Yifan
    Yam, Sheung Chi Phillip
    INSURANCE MATHEMATICS & ECONOMICS, 2021, 99 : 256 - 267
  • [30] Finite-time ruin probabilities with Levy stable processes.
    Le Courtois, O
    Randrianarivony, R
    INSURANCE MATHEMATICS & ECONOMICS, 2003, 33 (02): : 426 - 426