Results 31 to 40 of about 34,266 (260)
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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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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Finite-time ruin probability with an exponential Lévy process investment return and heavy-tailed claims [PDF]
Advances in Applied Probability, 2009 C. C. Heyde, Dingcheng Wang
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Parisian ruin for the dual risk process in discrete-time. [PDF]
Eur Actuar J, 2018 In this paper we consider the Parisian ruin probabilities for the dual risk model in a discrete-time setting. By exploiting the strong Markov property of the risk process we derive a recursive expression for the finite-time Parisian ruin probability, in ...
Palmowski Z, Ramsden L, Papaioannou AD.
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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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Discrete-Time Risk Models with Claim Correlated Premiums in a Markovian Environment
Risks, 2021 In this paper we consider a discrete-time risk model, which allows the premium to be adjusted according to claims experience. This model is inspired by the well-known bonus-malus system in the non-life insurance industry.
Dhiti Osatakul, Xueyuan Wu
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Ruin probability in finite time [PDF]
, 2011 In examining the nature of the risk associated with a portfolio of business, it is often of interest to assess how the portfolio may be expected to perform over an extended period of time. One approach involves the use of ruin theory (Panjer and Willmot, 1992).
Krzysztof Burnecki, Marek Teuerle
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International Journal of Mathematics for Industry, 2023 This paper studies the Gerber–Shiu function for the insurance surplus process with additional investment under the Bachelier model. The Gerber–Shiu function allows us to study the moments of the time of ruin, which is the first time that the surplus is ...
Sutipon Punaluek, Yuri Imamura
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, 2020 In this paper, we consider a time-dependent risk model with a Brownian perturbation. In this model, there is a dependence structure between the claim sizes and their corresponding interarrival times.
Kaiyong Wang, Y. Cui, Yanzhu Mao
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Second order corrections for the limits of normalized ruin times in the presence of heavy tails
Stochastic Systems, 2014 In this paper we consider a compound Poisson risk model with regularly varying claim sizes. For this model in [4] an asymptotic formula for the finite time ruin probability is provided when the time is scaled by the mean excess function. In this paper
Dominik Kortschak, Søren Asmussen
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