Estimates for the probability of ruin with special emphasis on the possibility of large claims

From MaRDI portal
Publication:1054107

DOI10.1016/0167-6687(82)90021-XzbMath0518.62083OpenAlexW1976485684MaRDI QIDQ1054107

Paul Embrechts, Noël Veraverbeke

Publication date: 1982

Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6687(82)90021-x




Related Items (only showing first 100 items - show all)

ApproximatingM/G/1 Waiting Time Tail ProbabilitiesAsymptotics for the Finite Time Ruin Probability in the Renewal Model with Consistent VariationAssessment of dependent risk using extreme value theory in a time-varying frameworkTwo-Sided Bounds for Ruin Probabilities when the Adjustment Coefficient does not ExistRuin probabilities for risk process in a regime-switching environmentRisk Measures and Multivariate Extensions of Breiman's TheoremA survey of some recent results on Risk TheoryAsymptotic behavior of tail and local probabilities for sums of subexponential random variablesOn max-sum equivalence and convolution closure of heavy-tailed distributions and their applicationsAsymptotic Probabilities of an Exceedance Over Renewal Thresholds with an Application to Risk TheoryA Note on Gerber–Shiu Functions with an ApplicationModelling of extremal events in insurance and financeUniform asymptotic behavior of tail probability of maxima in a time-dependent renewal risk modelSecond order asymptotics for ruin probabilities of the delayed renewal risk model with heavy-tailed claimsOn semiparametric estimation of ruin probabilities in the classical risk modelOn the accuracy of phase-type approximations of heavy-tailed risk modelsFrom ruin theory to solvency in non-life insuranceCalculation of ruin probabilities for a dense class of heavy tailed distributionsThe arctan family of distributions: New results with applicationsAsymptotic analysis of the ruin with stationary stable steps generated by dissipative flowsAn upper bound for the probability of ultimate ruinSome applications of the fast Fourier transform algorithm in insurance mathematics This paper is dedicated to Professor W. S. Jewell on the occasion of his 60th birthdayHeavy loads and heavy tailsDetermining exact survival probability by setting discrete random variables in E. Sparre Andersen's modelAsymptotic distributions of the overshoot and undershoots for the Lévy insurance risk process in the Cramér and convolution equivalent casesSecond order asymptotics for ruin probabilities in a renewal risk model with heavy-tailed claimsTwo-sided bounds of ruin probabilitiesUnnamed ItemPower estimates for ruin probabilitiesA General Class of Closed Fork and Join Queues with Subexponential Service TimesRATIO MONOTONICITY FOR TAIL PROBABILITIES IN THE RENEWAL RISK MODELThe supremum of random walk with negatively associated and heavy-tailed stepsUnnamed ItemOptimal Proportional Reinsurance Policies in a Dynamic SettingMoments of the Surplus before Ruin and the Deficit at Ruin in the Erlang(2) Risk ProcessGeneralized Pareto Fit to the Society of Actuaries’ Large Claims DatabaseOn calculation of moments of ladder heightsOn the Gerber-Shiu discounted penalty function for subexponential claimsBounds for Ruin Probabilities in the Presence of Large Claims and their ComparisonA wide class of heavy-tailed distributions and its applicationsThe probabilities of absolute ruin in the renewal risk model with constant force of interestA nonparametric sequential test with power 1 for the ruin probability in some risk modelsOn the subexponential properties in stationary single-server queues: a Palm-martingale approachApproximation der Ruinwahrscheinlichkeit bei diskreter Zeit mittels eines Resultats von A. WaldRuin estimation in multivariate models with Clayton dependence structureThe Ruin Probability of a Discrete Time Risk Model under Constant Interest Rate with Heavy TailsRuin probability with certain stationary stable claims generated by conservative flowsTail asymptotics of the \(n\)th convolution of super-exponential distributionsLarge deviations of sojourn times in processor sharing queuesFunctional large deviations for multivariate regularly varying random walksNonexponential asymptotics for the solutions of renewal equations, with applicationsThe Joint Density of the Surplus Before and After Ruin in the Sparre Andersen ModelA class of risk processes with delayed claims: ruin probability estimates under heavy tail conditionsSome estimates of geometric sumsTail Asymptotics of the Supremum of a Regenerative ProcessA local asymptotic behavior for ruin probability in the renewal risk modelCorrected phase-type approximations of heavy-tailed risk models using perturbation analysisReinsurance under the LCR and ECOMOR treaties with emphasis on light-tailed claimsAsymptotics for solutions of a defective renewal equation with applicationsQuality of the Approximation of Ruin Probabilities Regarding to Large ClaimsAsymptotic behaviour of the finite-time ruin probability in renewal risk modelsHigher-order expansions for compound distributions and ruin probabilities with subexponential claimsAsymptotic expansions and saddlepoint approximations using the analytic continuation of moment generating functionsBuffer content of a leaky-bucket system with long-range dependent input trafficExtremal Subexponentiality in Ruin ProbabilitiesAn Actuarial Index of the Right-Tail RiskThe probability of exceeding a high boundary on a random time interval for a heavy-tailed random walkTail Probability of the Supremum of a Random Walk with Stable Steps and a Nonlinear Negative DriftPrecise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks.Ruin probabilities for a~risk process with stochastic return on investments.Asymptotics for the ruin probabilities of a two-dimensional renewal risk model with heavy-tailed claimsFunctional sensitivity analysis of ruin probability in the classical risk modelsRuin probabilities in the presence of heavy-tails and interest ratesEstimation of distribution tails —a semiparametric approachSecond Order Behaviour of Ruin ProbabilitiesRuin probability with claims modeled by a stationary ergodic stable process.The maximum on a random time interval of a random walk with long-tailed increments and negative drift.Tail probabilities of subadditive functionals of Lévy processes.A local limit theorem for random walk maxima with heavy tailsThe supremum of a negative drift random walk with dependent heavy-tailed steps.The finite-time ruin probability for an inhomogeneous renewal risk modelThe impact of insurance premium taxationMoments and tails in monotone-separable stochastic networks.Estimates for the probability of ruin starting with a large initial reserveA Koopman framework for rare event simulation in stochastic differential equationsLarge claims approximations for risk processes in a Markovian environmentComputing ruin probability in the classical risk modelSecond-order asymptotics of ruin probabilities for semiexponential claimsExponential bounds for the tail probability of the supremum of an inhomogeneous random walkDiscrete and continuous time modulated random walks with heavy-tailed incrementsSecond order asymptotics for infinite-time ruin probability in a compound renewal risk modelA Lundberg-type inequality for an inhomogeneous renewal risk modelA Karamata-type theorem and ruin probabilities for an insurer investing proportionally in the stock marketRuin estimates for large claimsLarge deviations for solutions to stochastic recurrence equations under Kesten's conditionLarge deviations results for subexponential tails, with applications to insurance riskPrecise large deviations for dependent regularly varying sequencesTandem queues with subexponential service times and finite buffersRandom walks with non-convolution equivalent increments and their applicationsPatterns of buffer overflow in a class of queues with long memory in the input stream



Cites Work


This page was built for publication: Estimates for the probability of ruin with special emphasis on the possibility of large claims