On a perturbed Sparre Andersen risk model with multi-layer dividend strategy

被引：4

作者：

Yang, Hu ^{[1
]}

Zhang, Zhimin ^{[1
]}

机构：

[1] Chongqing Univ, Dept Stat & Actuarial Sci, Chongqing, Sichuan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 232卷 / 02期

关键词：

Sparre Andersen risk model; Multi-layer dividend strategy; Discounted penalty function; Defective renewal equation; DISCOUNTED PENALTY-FUNCTION; RUIN; DIFFUSION;

D O I：

10.1016/j.cam.2009.06.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a perturbed Sparre Andersen risk model, in which the inter-claim times are generalized Erlang(n) distributed. Under the multi-layer dividend strategy, piece-wise integro-differential equations for the discounted penalty functions are derived, and a recursive approach is applied to express the solutions. A numerical example to calculate the ruin probabilities is given to illustrate the solution procedure. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.

引用

页码：612 / 624

页数：13

共 18 条

[1] A RISK MODEL WITH MULTILAYER DIVIDEND STRATEGY [J].

Albrecher, Hansjoerg ;

Hartinger, Juergen .

NORTH AMERICAN ACTUARIAL JOURNAL, 2007, 11 (02) :43-64

[2] Controlled diffusion models for optimal dividend pay-out [J].

Asmussen, S ;

Taksar, M .

INSURANCE MATHEMATICS & ECONOMICS, 1997, 20 (01) :1-15

[3]

DE FINETTI B., 1957, T 15 INT C ACTUARIES, V2, P433

[4] The perturbed Sparre Andersen model with a threshold dividend strategy [J].

Gao, Heli ;

Yin, Chuancun .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 220 (1-2) :394-408

[5]

Gerber H., 2004, N AM ACTUAR J, V8, P1

[6] ON OPTIMAL DIVIDEND STRATEGIES IN THE COMPOUND POISSON MODEL [J].

Gerber, Hans ;

Shiu, Elias .

NORTH AMERICAN ACTUARIAL JOURNAL, 2006, 10 (02) :76-93

[7] THE TIME VALUE OF RUIN IN A SPARRE ANDERSEN MODEL [J].

Gerber, Hans ;

Shiu, Elias .

NORTH AMERICAN ACTUARIAL JOURNAL, 2005, 9 (02) :49-69

[8] On the discounted penalty at ruin in a jump-diffusion and the perpetual put option [J].

Gerber, HU ;

Landry, B .

INSURANCE MATHEMATICS & ECONOMICS, 1998, 22 (03) :263-276

[9]

Li SF, 2001, CHINESE J ANAL CHEM, V29, P333

[10] On ruin for the Erlang(n) risk process [J].

Li, SM ;

Garrido, J .

INSURANCE MATHEMATICS & ECONOMICS, 2004, 34 (03) :391-408

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