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Rare Events Simulation for Heavy-Tailed Distributions
13 references·15 citing·41 second hop
Rare Events Simulation for Heavy-Tailed Distributions (2000)Rare Events Simulation for Heavy-Tailed D…Subexponential Distributions (2004)Subexponential DistributionsA Practical Guide to Heavy Tails: Statistical Techniques and Applications (1999)A Practical Guide to Heavy Ta…Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities (1998)Subexponential asymptotics fo…Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models (1998)Heavy Tails and Long Range De…Patterns of buffer overflow in a class of queues with long memory in the input stream (1997)Patterns of buffer overflow i…Stationary distributions for fluid flow models with or without brownian noise (1995)Stationary distributions for …Saddlepoint Approximations (1995)Saddlepoint ApproximationsFast simulation of rare events in queueing and reliability models (1995)Fast simulation of rare event…Waiting-time tail probabilities in queues with long-tail service-time distributions (1994)Waiting-time tail probabiliti…Phase-Type Representations in Random Walk and Queueing Problems (1992)Phase-Type Representations in…Applied Probability and Queues (1987)Applied Probability and QueuesEstimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Estimates for the probability…Extreme Values in the GI/G/1 Queue (1972)Extreme Values in the GI/G/1 …Cross-entropy based importance sampling for stochastic simulation models (2019)Cross-entropy based importanc…Uncertainty Quantification of Stochastic Simulation for Black-box Computer Experiments (2017)Uncertainty Quantification of…State-dependent importance sampling for rare-event simulation: An overview and recent advances (2011)State-dependent importance sa…Rare-event probability estimation with conditional Monte Carlo (2009)Rare-event probability estima…State-dependent importance sampling for regularly varying random walks (2008)State-dependent importance sa…Efficient rare-event simulation for the maximum of heavy-tailed random walks (2008)Efficient rare-event simulati…Fluid heuristics, Lyapunov bounds and efficient importance sampling for a heavy-tailed G/G/1 queue (2007)Fluid heuristics, Lyapunov bo…Estimating tail probabilities of heavy tailed distributions with asymptotically zero relative error (2007)Estimating tail probabilities…Efficient importance sampling heuristics for the simulation of population overflow in Jackson networks (2007)Efficient importance sampling…HEAVY TAILS, IMPORTANCE SAMPLING AND CROSS–ENTROPY (2005)HEAVY TAILS, IMPORTANCE SAMPL…The Transform Likelihood Ratio Method for Rare Event Simulation with Heavy Tails (2004)The Transform Likelihood Rati…Simulating heavy tailed processes using delayed hazard rate twisting (2002)Simulating heavy tailed proce…Ruin theory revisited: stochastic models for operational risk (2002)Ruin theory revisited: stocha…Tail asymptotics for M/G/1 type queueing processes with subexponential increments (1999)Tail asymptotics for M/G/1 ty…On tail probabilities and first passage times for fractional Brownian motion (1999)On tail probabilities and fir…Mathematical Methods in Risk Theory (1970)Subexponential distributions and integrated tails (1988)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)Multiple channel queues in heavy traffic. 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(2002)Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options (2004)Modelling Extremal Events (1997)Appendix: A primer on heavy-tailed distributions (1999)Stochastic Processes for Insurance & Finance (1999)Convolution equivalence and infinite divisibility (2004)Infinite divisibility and generalized subexponentiality (2005)Extreme Value Theory as a Risk Management Tool (1999)Estimation and interpretation of 1/fα noise in human cognition (2004)Extreme value theory and Value-at-Risk: Relative performance in emerging markets (2004)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)Actuarial versus Financial Pricing of Insurance (2000)Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation (2007)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1999A Practical Guide to Heavy Tails: Statistical Techniques and Applications639 cited
  • 1995Fast simulation of rare events in queueing and reliability models546 cited
  • 1995Saddlepoint Approximations400 cited
  • 1982Estimates for the probability of ruin with special emphasis on the possibility of large claims388 cited
  • 1972Extreme Values in the GI/G/1 Queue227 cited
  • 1995Stationary distributions for fluid flow models with or without brownian noise206 cited
  • 1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
  • 1998Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities175 cited
  • 2004Subexponential Distributions144 cited
  • 1994Waiting-time tail probabilities in queues with long-tail service-time distributions122 cited
  • 1992Phase-Type Representations in Random Walk and Queueing Problems84 cited
  • 1997Patterns of buffer overflow in a class of queues with long memory in the input stream72 cited

Cited by

  • 2008Efficient rare-event simulation for the maximum of heavy-tailed random walks103 cited

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2002
Simulating heavy tailed processes using delayed hazard rate twisting
98 cited
  • 2011State-dependent importance sampling for rare-event simulation: An overview and recent advances64 cited
  • 2008State-dependent importance sampling for regularly varying random walks63 cited
  • 2005HEAVY TAILS, IMPORTANCE SAMPLING AND CROSS–ENTROPY49 cited
  • 2002Ruin theory revisited: stochastic models for operational risk44 cited
  • 2009Rare-event probability estimation with conditional Monte Carlo43 cited
  • 2004The Transform Likelihood Ratio Method for Rare Event Simulation with Heavy Tails39 cited
  • 2007Fluid heuristics, Lyapunov bounds and efficient importance sampling for a heavy-tailed G/G/1 queue37 cited
  • 2007Estimating tail probabilities of heavy tailed distributions with asymptotically zero relative error36 cited
  • 1999On tail probabilities and first passage times for fractional Brownian motion36 cited
  • 2019Cross-entropy based importance sampling for stochastic simulation models25 cited
  • 1999Tail asymptotics for M/G/1 type queueing processes with subexponential increments24 cited
  • 2017Uncertainty Quantification of Stochastic Simulation for Black-box Computer Experiments17 cited
  • 2007Efficient importance sampling heuristics for the simulation of population overflow in Jackson networks16 cited