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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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 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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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
doaj +1 more source
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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Ruin probability for renewal risk models with neutral net profit condition
Nonlinear Analysis, 2023 In ruin theory, the net profit condition intuitively means that the sizes of the incurred random claims are on average less than the premiums gained between the successive interoccurrence times.
Andrius Grigutis +2 more
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Gerber-Shiu Metrics for a Bivariate Perturbed Risk Process
Risks, 2023 We consider a two-dimensional risk model with simultaneous Poisson arrivals of claims. Each claim of the first input process is at least as large as the corresponding claim of the second input process.
Onno Boxma, Fabian Hinze, Michel Mandjes
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Ruin Probability for Stochastic Flows of Financial Contract under Phase-Type Distribution
Risks, 2020 This paper examines the impact of the parameters of the distribution of the time at which a bank’s client defaults on their obligated payments, on the Lundberg adjustment coefficient, the upper and lower bounds of the ruin probability.
Franck Adékambi, Kokou Essiomle
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Risks, 2016 We consider a discrete-time dependent Sparre Andersen risk model which incorporates multiple threshold levels characterizing an insurer’s minimal capital requirement, dividend paying situations, and external financial activities.
Sung Soo Kim, Steve Drekic
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