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On the Discounted Penalty Function for Claims Having Mixed Exponential
Nonlinear Analysis, 2006 It is considered the classical risk model with mixed exponential claim sizes. Using known results it is obtained the explicit expression of the GerberShiu discounted penalty function ψ(x,δ) = E e −δT 1(T < ∞) , by some infinite series. Here δ > 0 is the
J. Šiaulys, J. Kočetova
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Infinite time ruin probability in inhomogeneous claims case
Lietuvos Matematikos Rinkinys, 2010 The article deals with the classical discrete-time risk model with non-identically distributed claims. The recursive formula of infinite time ruin probability is obtained, which enables to evaluate the probability to ruin with desired accuracy.
Eugenija Bieliauskienė +1 more
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Risks, 2022 We introduce here a diffusion-type approximation of the ruin probability both in finite and infinite time for a two-dimensional risk process, where claims and premiums are shared with a predetermined proportion.
Krzysztof Burnecki +2 more
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Risks, 2015 In the compound Poisson insurance risk model under a dividend barrier strategy, this paper aims to analyze jointly the aggregate discounted claim amounts until ruin and the total discounted dividends until ruin, which represent the insurer’s payments to ...
Eric C.K. Cheung +2 more
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On the time spent in the red by a refracted L\'evy risk process [PDF]
, 2013 In this paper, we introduce an insurance ruin model with adaptive premium rate, thereafter refered to as restructuring/refraction, in which classical ruin and bankruptcy are distinguished.
Renaud, Jean-François
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Reinvigorating Life of Southern Italy Fortified Architecture in Ruin: From Knowledge to Conservation [PDF]
Athens Journal of Architecture, 2020 Southern Italy, the ancient Kingdom of Naples and Sicily, shows a rich heritage of fortified architecture, with towers, castles, boundary walls and any other defensive works, witnesses of historical seasons of sieges and enemy attacks.
Federica Ribera, Pasquale Cucco
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Journal of Applied Mathematics, 2014 Consider dividend problems in the diffusion model with interest and exponentially distributed observation time where dividends are paid according to a barrier strategy.
Cuilian Wang, Xiao Liu
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Sophisticated gamblers ruin and survival chances [PDF]
, 2013 This note explores the mathematical theory to solve modern gamblers ruin problems. We establish a ruin framework and solve for the probability of bankruptcy.
Mehta, Salil
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Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments
Risks, 2018 In this paper, a dual risk model under constant force of interest is considered. The ruin probability in this model is shown to satisfy an integro-differential equation, which can then be written as an integral equation. Using the collocation method, the
Sooie-Hoe Loke, Enrique Thomann
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Ruin Probability for the Insurer–Reinsurer Model for Exponential Claims: A Probabilistic Approach
Risks, 2021 In this paper, we consider a two-dimensional risk process in which the companies split each claim and premium in a fixed proportion. It serves as a classical framework of a quota-share reinsurance contract for a given business line.
Krzysztof Burnecki +2 more
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