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Finite-Time Ruin Probabilities of Bidimensional Risk Models with Correlated Brownian Motions [PDF]
Mathematics, 2023 The present work concerns the finite-time ruin probabilities for several bidimensional risk models with constant interest force and correlated Brownian motions. Under the condition that the two Brownian motions {B1(t),t≥0} and {B2(t),t≥0} are correlated,
Dan Zhu, Ming Zhou, Chuancun Yin
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Ruin Analysis on a New Risk Model with Stochastic Premiums and Dependence Based on Time Series for Count Random Variables [PDF]
Entropy, 2023 In this paper, we propose a new discrete-time risk model of an insurance portfolio with stochastic premiums, in which the temporal dependence among the premium numbers of consecutive periods is fitted by the first-order integer-valued autoregressive ...
Lihong Guan, Xiaohong Wang
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On the First Crossing of Two Boundaries by an Order Statistics Risk Process [PDF]
Risks, 2017 We derive a closed form expression for the probability that a non-decreasing, pure jump stochastic risk process with the order statistics (OS) property will not exit the strip between two non-decreasing, possibly discontinuous, time-dependent boundaries,
Dimitrina S. Dimitrova +2 more
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Asymptotics of the Finite-time Ruin Probability for the Sparre Andersen Risk Model Perturbed by an Inflated Stationary Chi-process [PDF]
, 2013 In this article, we consider the Sparre Andersen risk model that is perturbed by an inflated chi-process with non-negative random inflator R. Under some conditions on the perturbation and the random inflator, which allow for both small and large ...
Enkelejd Hashorva, Lanpeng Ji
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Numerical Calculation of Finite-Time Ruin Probabilities in the Dual Risk Model [PDF]
RisksIn the dual risk model, while the ultimate ruin probability has an exact and straightforward formula, the mathematics becomes significantly more complex when considering a finite time horizon, and the literature on this topic is scarce.
Rui M. R. Cardoso, Andressa C. O. Melo
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Nonlinear AnalysisThe paper considers a dependent bidimensional risk model with stochastic return and Brownian perturbations in which the price processes of the investment portfolio of the two lines of business are two geometric Lévy processes, and the claim-number ...
Chenghao Xu, Xiaowen Shen, Kaiyong Wang
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, 2013 International audienceIn ruin theory, the univariate model may be found too restrictive to describe accurately the complex evolution of the reserves of an insurance company.
Romain Biard
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Uniform Asymptotic Probability for Multi Renewal Risk Model with Strong Subexponential Tailed Claims [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 In this paper, we study the uniform asymptotic behavior for the ruin probability in a continuous time renewal counting process. For the proposed model, we assume that the financial claims for each extreme event are compensated by a finite number of ...
Fotis Loukissas, Alex Karagrigoriou
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Effect of Stop-Loss Reinsurance on Primary Insurer Solvency
Risks, 2022 Stop-loss reinsurance is a risk management tool that allows an insurance company to transfer part of their risk to a reinsurance company. Ruin probabilities allow us to measure the effect of stop-loss reinsurance on the solvency of the primary insurer ...
Corina Constantinescu +4 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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