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Higher-order expansions for compound distributions and ruin probabilities with subexponential claims
13 references·1 citing·37 second hop
Higher-order expansions for compound distributions and ruin probabilities with subexponential claims (2009)Higher-order expansions for compound dist…Uniform renewal theory with applications to expansions of random geometric sums (2007)Uniform renewal theory with a…Stochastic Processes for Insurance and Finance (2001)Stochastic Processes for Insu…Stochastic Processes for Insurance and Finance (1999)Stochastic Processes for Insu…Stochastic Processes for Insurance & Finance (1999)Stochastic Processes for Insu…Simulation of Ruin Probabilities for Subexponential Claims (1997)Simulation of Ruin Probabilit…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…Asymptotic expansions for waiting time probabilities in an M/G/1 queue with long-tailed service time (1992)Asymptotic expansions for wai…Subexponential distributions and integrated tails (1988)Subexponential distributions …Second order behaviour of the tail of a subordinated probability distribution (1986)Second order behaviour of the…Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Estimates for the probability…Calculation of Ruin Probabilities when the Claim Distribution is Lognormal (1977)Calculation of Ruin Probabili…Asymptotic ruin probabilities when exponential moments do not exist (1975)Asymptotic ruin probabilities…Numerical evaluation of ruin probabilities for a finite period (1973)Numerical evaluation of ruin …Fourier-cosine method for ruin probabilities (2014)Fourier-cosine method for rui…Mathematical Methods in Risk Theory (1970)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks (2003)Introduction to the Theory of Queues. (1963)An equilibrium characterization of the term structure (1977)Extreme Values, Regular Variation and Point Processes (1987)On minimizing the ruin probability by investment and reinsurance (2002)The application of continuous-time random walks in finance and economics (2005)On the optimal dividend problem for a spectrally negative Lévy process (2007)On the tails of waiting-time distributions (1975)Stochastic Processes in Queueing Theory (1976)Applied Probability and Queues (1987)Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Rare Events Simulation for Heavy-Tailed Distributions (2000)Improved algorithms for rare event simulation with heavy tails (2006)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Modeling large claims in non-life insurance (1992)Risk concentration and diversification: Second-order properties (2010)Habilitationsschrift (2020)The Single Server Queue (1983)Matrix-Geometric Solutions to Stochastic Models (1984)Calculation of the GI/G/1 waiting-time distribution and its cumulants from Pollaczek's formulas (1993)Subexponential loss rates in a GI/GI/1 queue with applications (1999)Asymptotic expansions for infinite weighted convolutions of heavy tail distributions and applications (2009)Simulation and the Monte Carlo Method (1981)Simulating heavy tailed processes using delayed hazard rate twisting (2002)Efficient rare-event simulation for the maximum of heavy-tailed random walks (2008)State-dependent importance sampling for rare-event simulation: An overview and recent advances (2011)Simulation and the Monte Carlo Method (2016)Subexponential distributions and characterizations of related classes (1989)Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate (2011)Simple approximations of ruin probabilities (2000)Ruin theory revisited: stochastic models for operational risk (2002)Phase-type Approximations to Finite-time Ruin Probabilities in the Sparre-Andersen and Stationary Renewal Risk Models (2005)Fitting Tweedie's Compound Poisson Model to Insurance Claims Data: Dispersion Modelling (2002)Quantifying Distributional Model Risk via Optimal Transport (2019)
this work references cited by second hop

References

  • 2001Stochastic Processes for Insurance and Finance839 cited
  • 1999Stochastic Processes for Insurance & Finance775 cited
  • 1999Stochastic Processes for Insurance and Finance499 cited
  • 1982Estimates for the probability of ruin with special emphasis on the possibility of large claims388 cited
  • 1988Subexponential distributions and integrated tails318 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions122 cited
  • 1997Simulation of Ruin Probabilities for Subexponential Claims108 cited
  • 1986Second order behaviour of the tail of a subordinated probability distribution67 cited
  • 1977Calculation of Ruin Probabilities when the Claim Distribution is Lognormal55 cited
  • 1992Asymptotic expansions for waiting time probabilities in an M/G/1 queue with long-tailed service time52 cited
  • 1973Numerical evaluation of ruin probabilities for a finite period47 cited
  • 1975Asymptotic ruin probabilities when exponential moments do not exist38 cited
  • 2007Uniform renewal theory with applications to expansions of random geometric sums29 cited

Cited by

  • 2014Fourier-cosine method for ruin probabilities33 cited

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