Results 31 to 40 of about 65,049 (289)
Ruin probabilities in the Cram\'er-Lundberg model with temporarily negative capital
, 2019 We study the asymptotics of the ruin probability in the Cram\'er-Lundberg model with a modified notion of ruin. The modification is as follows. If the portfolio becomes negative, the asset is not immediately declared ruined but may survive due to certain
Aurzada, Frank, Buck, Micha
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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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Simulation of Ruin Probabilities for Subexponential Claims [PDF]
ASTIN Bulletin, 1997 AbstractWe consider the classical risk model with subexponential claim size distribution. Three methods are presented to simulate the probability of ultimate ruin and we investigate their asymptotic efficiency. One, based upon a conditional Monte Carlo idea involving the order statistics, is shown to be asymptotically efficient in a certain sense.
Asmussen, Søren, Binswanger, K.
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Ruin Probability Approximations in Sparre Andersen Models with Completely Monotone Claims
Risks, 2019 We consider the Sparre Andersen risk process with interclaim times that belong to the class of distributions with rational Laplace transform. We construct error bounds for the ruin probability based on the Pollaczek−Khintchine formula, and develop ...
Hansjörg Albrecher, Eleni Vatamidou
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Modern Stochastics: Theory and Applications, 2020 We deal with a generalization of the risk model with stochastic premiums where dividends are paid according to a constant dividend strategy and consider heuristic approximations for the ruin probability.
Olena Ragulina
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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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Journal of Inequalities and Applications, 2018 This paper investigates optimal investment and reinsurance policies for an insurance company under a correlated risk model with common Poisson shocks. The goal of the insurance company is to minimize the ultimate ruin probability.
Lin Xu, Minghan Wang, Bin Zhang
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Ruin Probability in Compound Poisson Process with Investment
Journal of Applied Mathematics, 2012 We consider that the surplus of an insurer follows compound Poisson process and the insurer would invest its surplus in risky assets, whose prices satisfy the Black-Scholes model. In the risk process, we decompose the ruin probability into the sum of two
Yong Wu, Xiang Hu
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Statistical analysis of mixtures underlying probability of ruin
Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2009 If the hypothesis on exponentially distributed claims in a risk (or surplus) model is untenable then, in many cases, the assumption that they are mixtures of two (or more) exponentials is a suitable substitute.
Rastislav Potocký, Milan Stehlík
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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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