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On the expected discounted penalty functions for two classes of risk processes

Insurance: Mathematics and Economics, 2005
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Li, Shuanming, Lu, Yi
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Estimation of the expected discounted penalty function for Lévy insurance risks

Mathematical Methods of Statistics, 2010
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On the expected discounted penalty function in a delayed-claims risk model

Acta Mathematicae Applicatae Sinica, English Series, 2012
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Meng, Hui, Wang, Guo-jing
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The expected discounted penalty function under a risk model with stochastic income

Applied Mathematics and Computation, 2009
The paper deals with a ruin model framed within the general scenario of the expected discounted penalty function, where premiums and claims follow compound Poisson processes. In this framework the authors deduce a defective renewal equation and an integral equation involving the expected penalty function; in particular explicit expressions of such ...
Labbé, Chantal, Sendova, Kristina P.
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THE RISK MODEL OF THE EXPECTED DISCOUNTED PENALTY FUNCTION WITH CONSTANT INTEREST FORCE

Acta Mathematica Scientia, 2006
Abstract In this article, the expected discounted penalty function Φδ,α(u) with constant interest δ and “discounted factor” exp(-αTδ) is considered. As a result, the integral equation of Φδ,α(u) is derived and an exact solution for Φδ,α(0) is found.
Li Liu, Shisong Mao
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The expected discounted penalty function under a renewal risk model with stochastic income

Applied Mathematics and Computation, 2011
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Zhao, Yongxia, Yin, Chuancun
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The Expected Discounted Penalty Function under Stochastic Discount Interest Force Driven by Markov Process

Advanced Materials Research, 2012
We investigate the expected discounted penalty function in which the discount interest process is driven by markov process. We obtain the integro-differential equation satisfied by the expected discounted penalty function when interest process is perturbed by standard Wiener process and Poisson-Geometric process.
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On the expected discounted penalty function for the continuous-time compound binomial risk model

Statistics & Probability Letters, 2008
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Liu, Guoxin, Wang, Ying
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Expected discounted penalty function at ruin for risk process perturbed by diffusion under interest force

Applied Mathematics-A Journal of Chinese Universities, 2005
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Zhao, Xia, Ouyang, Zisheng
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Computing the finite-time expected discounted penalty function for a family of Lévy risk processes

Scandinavian Actuarial Journal, 2011
Ever since the first introduction of the expected discounted penalty function (EDPF), it has been widely acknowledged that it contains information that is relevant from a risk management perspective. Expressions for the EDPF are now available for a wide range of models, in particular for a general class of Levy risk processes.
Alexey Kuznetsov, Manuel Morales
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