SURVIVAL PROBABILITIES FOR COMPOUND BINOMIAL RISK MODEL WITH DISCRETE PHASE-TYPE CLAIMS

被引:0
|
作者
Tuncel, Altan [1 ]
机构
[1] Kirikkale Univ, Fac Arts & Sci, Dept Actuarial Sci, Kirikkale, Turkey
关键词
Compound binomial risk model; phase-type claims; non-homogenous claim occurrence; survival probabilities;
D O I
10.1501/Commual_0000000755
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Due to having useful properties in approximating to the other distributions and mathematically tractable, phase type distributions are commonly used in actuarial risk theory. Claim occurrence time and individual claim size distributions are modelled by phase type distributions in literature. This paper aims to calculate the survival probabilities of an insurance company under the assumption that compound binomial risk model where the individual claim sizes are distributed as discrete Phase Type distribution.
引用
收藏
页码:11 / 22
页数:12
相关论文
共 50 条
  • [41] A Note on Levy Risk Model with Two-Sided Phase-Type Jumps
    Slijepcevic-Manger, Tatjana
    FILOMAT, 2017, 31 (13) : 4209 - 4216
  • [42] The phase-type risk model perturbed by diffusion under a threshold dividend strategy
    Wu-yuan Jiang
    Zhou-jun Yang
    Acta Mathematicae Applicatae Sinica, English Series, 2013, 29 : 215 - 224
  • [43] The phase-type risk model perturbed by diffusion under a threshold dividend strategy
    Jiang, Wu-yuan
    Yang, Zhou-jun
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (01): : 215 - 224
  • [44] The Phase-type Risk Model Perturbed by Diffusion under a Threshold Dividend Strategy
    Wuyuan Jiang
    Zhoujun Yang
    Acta Mathematicae Applicatae Sinica(English Series), 2013, 29 (01) : 215 - 224
  • [45] A discrete conditional phase-type model utilising a survival tree for the identification of elderly patient cohorts and their subsequent prediction of length of stay in hospital
    Gordon, Andrew S.
    Marshall, Adele H.
    Zenga, Mariangela
    2016 IEEE 29TH INTERNATIONAL SYMPOSIUM ON COMPUTER-BASED MEDICAL SYSTEMS (CBMS), 2016, : 259 - 264
  • [46] Exact expressions and upper bound for ruin probabilities in the compound Markov binomial model
    Cossette, H
    Landriault, D
    Marceau, T
    INSURANCE MATHEMATICS & ECONOMICS, 2004, 34 (03): : 449 - 466
  • [47] Ruin Probabilities for a Risk Model with Two Classes of Claims
    Tong Ling LV Department of Mathematics
    Acta Mathematica Sinica,English Series, 2010, 26 (09) : 1749 - 1760
  • [48] Ruin probabilities for a risk model with two classes of claims
    Tong Ling Lv
    Jun Yi Guo
    Xin Zhang
    Acta Mathematica Sinica, English Series, 2010, 26 : 1749 - 1760
  • [49] Ruin Probabilities in a Risk Model with Two Types of Claims
    Han, Ji-Yeon
    Choi, Seung Kyoung
    Lee, Eui Yong
    KOREAN JOURNAL OF APPLIED STATISTICS, 2012, 25 (05) : 813 - 820
  • [50] Ruin probabilities for a risk model with two classes of claims
    Lv, Tong Ling
    Guo, Jun Yi
    Zhang, Xin
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (09) : 1749 - 1760