FINITE-HORIZON RUIN PROBABILITY ASYMPTOTICS IN THE COMPOUND DISCRETE-TIME RISK MODEL

被引:6
|
作者
Leipus, Remigijus [1 ,2 ]
Siaulys, Jonas [1 ,2 ]
机构
[1] Vilnius State Univ, Fac Math & Informat, LT-03225 Vilnius, Lithuania
[2] Vilnius State Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania
关键词
ruin probability; finite-horizon ruin probability; compound discrete-time risk model; RANDOM SUMS; BEHAVIOR;
D O I
10.1007/s10986-011-9120-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider the compound discrete-time risk model which is a modification of the classical discrete-time (compound binomial) risk model. In this model, the claims in each fixed subsequent time interval arrive independently, and their number is random. We find the asymptotics of finite-horizon ruin probability in such a model for a subclass of heavy-tailed claim sizes and claim numbers.
引用
收藏
页码:207 / 219
页数:13
相关论文
共 50 条
  • [1] Finite-horizon ruin probability asymptotics in the compound discrete-time risk model
    Remigijus Leipus
    Jonas Šiaulys
    Lithuanian Mathematical Journal, 2011, 51 : 207 - 219
  • [2] Asymptotics for the finite-time ruin probability in a discrete-time risk model with dependent insurance and financial risks*
    Wang, Kaiyong
    Gao, Miaomiao
    Yang, Yang
    Chen, Yang
    LITHUANIAN MATHEMATICAL JOURNAL, 2018, 58 (01) : 113 - 125
  • [3] Asymptotics for the finite-time ruin probability in a discrete-time risk model with dependent insurance and financial risks*
    Kaiyong Wang
    Miaomiao Gao
    Yang Yang
    Yang Chen
    Lithuanian Mathematical Journal, 2018, 58 : 113 - 125
  • [4] Probability of ruin in a discrete-time risk model
    Picard, P
    Lefèvre, C
    JOURNAL OF APPLIED PROBABILITY, 2003, 40 (03) : 543 - 556
  • [5] Ruin problems in the theory of discrete-time risk with finite horizon
    Picard, P
    Lefèvre, C
    Coulibaly, I
    JOURNAL OF APPLIED PROBABILITY, 2003, 40 (03) : 527 - 542
  • [6] RUIN PROBABILITIES IN A FINITE-HORIZON RISK MODEL WITH INVESTMENT AND REINSURANCE
    Romera, R.
    Runggaldier, W.
    JOURNAL OF APPLIED PROBABILITY, 2012, 49 (04) : 954 - 966
  • [7] Estimate for the Finite-time Ruin Probability in the Discrete-time Risk Model with Insurance and Financial Risks
    Yang, Yang
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (10-12) : 2094 - 2104
  • [8] Approximations for finite-time ruin probability in a dependent discrete-time risk model with CMC simulations
    Yang, Yang
    Zhang, Ting
    Yuen, Kam C.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 321 : 143 - 159
  • [9] Finite-horizon, discrete-time variable tolerance H∞ filtering
    O'Brien, Richard T.
    Kiriakidis, Kiriakos
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 4581 - 4585
  • [10] Uniform asymptotics for finite-time ruin probability of a bidimensional risk model
    Chen, Yang
    Yang, Yang
    Jiang, Tao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) : 525 - 536