A Note on a Generalized Gerber–Shiu Discounted Penalty Function for a Compound Poisson Risk Model
Mathematics, 2019 In this paper, we propose a new generalized Gerber−Shiu discounted penalty function for a compound Poisson risk model, which can be used to study the moments of the ruin time.
Jiechang Ruan +5 more
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Gerber–Shiu Function in a Class of Delayed and Perturbed Risk Model with Dependence [PDF]
Risks, 2020 This paper considers the risk model perturbed by a diffusion process with a time delay in the arrival of the first two claims and takes into account dependence between claim amounts and the claim inter-occurrence times.
Franck Adékambi, Essodina Takouda
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The Gerber-Shiu Expected Penalty Function for the Risk Model with Dependence and a Constant Dividend Barrier [PDF]
Abstract and Applied Analysis, 2014 We consider a compound Poisson risk model with dependence and a constant dividend barrier. A dependence structure between the claim amount and the interclaim time is introduced through a Farlie-Gumbel-Morgenstern copula.
Donghai Liu, Zaiming Liu, Dan Peng
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Estimating the Gerber-Shiu Expected Discounted Penalty Function for Lévy Risk Model
Discrete Dynamics in Nature and Society, 2019 This paper studies the statistical estimation of the Gerber-Shiu discounted penalty functions in a general spectrally negative Lévy risk model. Suppose that the claims process and the surplus process can be observed at a sequence of discrete time points.
Yujuan Huang +3 more
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Estimating the Gerber-Shiu Function in a Compound Poisson Risk Model with Stochastic Premium Income
Discrete Dynamics in Nature and Society, 2019 In this paper, we consider the compound Poisson risk model with stochastic premium income. We propose a new estimation of Gerber-Shiu function by an efficient method: Fourier-cosine series expansion.
Yunyun Wang, Wenguang Yu, Yujuan Huang
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Asymptotic behavior of the Gerber–Shiu discounted penalty function in the Erlang(2) risk process with subexponential claims [PDF]
Nonlinear Analysis, 2011 We investigate the asymptotic behavior of the Gerber–Shiu discounted penalty function ɸ(u) = E(e−δT 1{T
Jelena Kočetova, Jonas Šiaulys
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On the Expected Discounted Penalty Function Using Physics‐Informed Neural Network
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 We study the expected discounted penalty at ruin under a stochastic discount rate for the compound Poisson risk model with a threshold dividend strategy. The discount rate is modeled by a Poisson process and a standard Brownian motion. By applying the differentiation method and total expectation formula, we obtain an integrodifferential equation for ...
Jiayu Wang +2 more
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On a Discrete‐Time Risk Model with Random Income and a Constant Dividend Barrier
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, a discrete‐time risk model with random income and a constant dividend barrier is considered. Under such a dividend policy, once the insurer’s reserve hits the level b(b > 0), the excess of the reserve over b is paid off as dividends.
Zhenhua Bao +3 more
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On Computations in Renewal Risk Models—Analytical and Statistical Aspects
Risks, 2020 We discuss aspects of numerical methods for the computation of Gerber-Shiu or discounted penalty-functions in renewal risk models. We take an analytical point of view and link this function to a partial-integro-differential equation and propose a ...
Josef Anton Strini, Stefan Thonhauser
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A Note on a Modified Parisian Ruin Concept
Risks, 2023 Traditionally, Parisian ruin is said to occur when the insurer’s surplus process has stayed below level zero continuously for a certain grace period. Inspired by this concept, in this paper we propose a modification by assuming that once a grace period ...
Eric C. K. Cheung, Jeff T. Y. Wong
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