Ruin Analysis on a New Risk Model with Stochastic Premiums and Dependence Based on Time Series for Count Random Variables. [PDF]
Entropy (Basel), 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 ...
Guan L, Wang X.
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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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The Distribution of the time to Ruin in the Classical Risk Model [PDF]
ASTIN Bulletin, 2002 AbstractWe study the distribution of the time to ruin in the classical risk model. We consider some methods of calculating this distribution, in particular by using algorithms to calculate finite time ruin probabilities. We also discuss calculation of the moments of this distribution.
David Dickson, Howard R. Waters
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The Density of the Time to Ruin in the Classical Poisson Risk Model [PDF]
ASTIN Bulletin, 2005 We derive an expression for the density of the time to ruin in the classical risk model by inverting its Laplace transform. We then apply the result when the individual claim amount distribution is a mixed Erlang distribution, and show how finite time ruin probabilities can be calculated in this case.
David Dickson, Gordon E. Willmot
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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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Analyzing Sequential Betting with a Kelly-Inspired Convective-Diffusion Equation. [PDF]
Entropy (Basel)The purpose of this article is to analyze a sequence of independent bets by modeling it with a convective-diffusion equation (CDE). The approach follows the derivation of the Kelly Criterion (i.e., with a binomial distribution for the numbers of wins and
Velegol D, Bishop KJM.
europepmc +2 more sources
ABOUT RISK PROCESS ESTIMATION TECHNIQUES EMPLOYED BY A VIRTUAL ORGANIZATION WHICH IS DIRECTED TOWARDS THE INSURANCE BUSINESS [PDF]
Annals of the University of Oradea: Economic Science, 2008 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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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
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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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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