Ruin Probabilities with Dependence on the Number of Claims within a Fixed Time Window [PDF]
Risks, 2016 We analyse the ruin probabilities for a renewal insurance risk process with inter-arrival times depending on the claims that arrive within a fixed (past) time window. This dependence could be explained through a regenerative structure.
Corina Constantinescu +3 more
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Approximation of ruin probability and ruin time in discrete Brownian risk models [PDF]
Scandinavian Actuarial Journal, 2020 17 pages 0 figures.
Grigori Jasnovidov
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Finite time ruin probabilities with one Laplace inversion [PDF]
Insurance: Mathematics and Economics, 2003 In this work we present an explicit formula for the Laplace transform in time of the finite time ruin probabilities of a classical Levy model with phase-type claims. Our result generalizes the ultimate ruin probability formula of Asmussen and Rolski [IME 10 (1991) 259]—see also the analog queuing formula for the stationary waiting time of the M/Ph/1 ...
Avram, Florin, Usabel, Miguel
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Convexity of Ruin Probability and Optimal Dividend Strategies for a General Lévy Process [PDF]
The Scientific World Journal, 2015 We consider the optimal dividends problem for a company whose cash reserves follow a general Lévy process with certain positive jumps and arbitrary negative jumps.
Chuancun Yin, Kam Chuen Yuen, Ying Shen
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Ruin Probabilities in Finite Time [PDF]
Journal of Mathematical Finance, 2023 Andrew Leung
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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 (Basel), 2023 Guan L, Wang X.
europepmc +3 more sources
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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An analysis of the classical gambler's ruin problem through multiple devices variation
Journal of Taibah University for Science, 2022 In this study, we propose a variant of classic 2-player ruin's problem. We advocate the use of simultaneous operation of multiple devices to conclude upon the game.
Abid Hussain +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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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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