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Minimizing Lundberg inequality for ruin probability under correlated risk model by investment and reinsurance [PDF]
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 Functions and Severity of Ruin as a Statistical Decision Problem [PDF]
It is known that the classical ruin function under exponential claim-size distribution depends on two parameters, which are referred to as the mean claim size and the relative security loading. These parameters are assumed to be unknown and random, thus,
Emilio Gómez-Déniz +2 more
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ABOUT RISK PROCESS ESTIMATION TECHNIQUES EMPLOYED BY A VIRTUAL ORGANIZATION WHICH IS DIRECTED TOWARDS THE INSURANCE BUSINESS [PDF]
In a virtual organization directed on the insurance business, the estimations of the risk process and of the ruin probability are important concerns: for researchers, at the theoretical level, and for the management of the company, as these influence the
Covrig Mihaela, Serban Radu
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Uniform Asymptotic Probability for Multi Renewal Risk Model with Strong Subexponential Tailed Claims [PDF]
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
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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This paper considers the estimation of ruin probability in an insurance risk model with stochastic premium income. We first show that the ruin probability can be approximated by the complex Fourier series (CFS) expansion method.
Yujuan Huang +3 more
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Computing ruin probability and minimum initial capital by simulation [PDF]
In this paper, we propose a new approximation method to obtain the ruin probability by modifying the PollaczekKhinchin approximation. The proposed approximation is simpler and requires fewer assumptions than other methods mentioned in the literature ...
Pawat Paksaranuwat, Samruam Chongcharoen
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Ruin probabilities as functions of the roots of a polynomial
A new formula for the ultimate ruin probability in the Cramér–Lundberg risk process is provided when the claims are assumed to follow a finite mixture of m Erlang distributions.
David J. Santana, Luis Rincón
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This paper is devoted to the investigation of the ruin probability in the risk model with stochastic premiums where dividends are paid according to a multi-layer dividend strategy.
Olena Ragulina, Jonas Šiaulys
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Modelling forest ruin due to climate hazards [PDF]
Estimating the risk of forest collapse due to extreme climate events is one of the challenges of adapting to climate change. We adapt a concept from ruin theory, which is widely used in econometrics and the insurance industry, to design a growth–ruin ...
P. Yiou, N. Viovy
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