Improved algorithms for rare event simulation with heavy tails
From MaRDI portal
Publication:5480012
DOI10.1239/aap/1151337084zbMath1097.65017OpenAlexW2171557682WikidataQ118141950 ScholiaQ118141950MaRDI QIDQ5480012
Dirk P. Kroese, Soren Asmussen
Publication date: 25 July 2006
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1151337084
complexitynumerical experimentsWeibull distributioncontrol variatebounded relative errorrare event simulationM/g/I queue
Related Items
The Convergence Rate and Asymptotic Distribution of the Bootstrap Quantile Variance Estimator for Importance Sampling ⋮ On the efficient simulation of the left-tail of the sum of correlated log-normal variates ⋮ Rare events in random geometric graphs ⋮ Efficient algorithms for tail probabilities of exchangeable lognormal sums ⋮ THE EFFICIENT COMPUTATION AND THE SENSITIVITY ANALYSIS OF FINITE-TIME RUIN PROBABILITIES AND THE ESTIMATION OF RISK-BASED REGULATORY CAPITAL ⋮ State-independent Importance Sampling for Random Walks with Regularly Varying Increments ⋮ On the efficiency of the Asmussen-Kroese-estimator and its application to stop-loss transforms ⋮ Fixed Precision MCMC Estimation by Median of Products of Averages ⋮ New efficient estimators in rare event simulation with heavy tails ⋮ Percentiles of sums of heavy-tailed random variables: beyond the single-loss approximation ⋮ State-dependent importance sampling for estimating expectations of functionals of sums of independent random variables ⋮ Laplace Transforms of Probability Distributions and Their Inversions are Easy on Logarithmic Scales ⋮ On the generalization of the hazard rate twisting-based simulation approach ⋮ Second order tail asymptotics for the sum of dependent, tail-independent regularly varying risks ⋮ Performance analysis with truncated heavy-tailed distributions ⋮ Efficient simulation and conditional functional limit theorems for ruinous heavy-tailed random walks ⋮ On ruin probability and aggregate claim representations for Pareto claim size distributions ⋮ Efficient simulation of tail probabilities of sums of correlated lognormals ⋮ Rare-event probability estimation with conditional Monte Carlo ⋮ Efficient rare-event simulation for the maximum of heavy-tailed random walks ⋮ Improving the Asmussen–Kroese-Type Simulation Estimators ⋮ Fluid heuristics, Lyapunov bounds and efficient importance sampling for a heavy-tailed \(G/G/1\) queue ⋮ Efficient simulation of finite horizon problems in queueing and insurance risk ⋮ Estimating tail probabilities of heavy tailed distributions with asymptotically zero relative error ⋮ Rare-Event Simulation of Heavy-Tailed Random Walks by Sequential Importance Sampling and Resampling ⋮ Importance sampling in path space for diffusion processes with slow-fast variables ⋮ The use of variance reduction, relative error and bias in testing the performance of M/G/1 retrial queues estimators in Monte Carlo simulation ⋮ Estimating tail probabilities of the ratio of the largest eigenvalue to the trace of a Wishart matrix ⋮ Monte Carlo estimation of the density of the sum of dependent random variables ⋮ Markov Chain Monte Carlo for Computing Rare-Event Probabilities for a Heavy-Tailed Random Walk ⋮ Simulation Analysis of System Life when Component Lives are Determined by a Marked Point Process ⋮ On the transition from heavy traffic to heavy tails for the \(M/G/1\) queue: the regularly varying case ⋮ Uniform approximations for the \(M/G/1\) queue with subexponential processing times ⋮ Estimation of extreme quantiles in a simulation model ⋮ Efficient simulations for the exponential integrals of Hölder continuous gaussian random fields ⋮ Efficient estimation of large portfolio loss probabilities in \(t\)-copula models ⋮ Tail asymptotics of light-tailed Weibull-like sums ⋮ State-dependent importance sampling for regularly varying random walks ⋮ Tail approximations for sums of dependent regularly varying random variables under Archimedean copula models ⋮ Increasing the number of inner replications of multifactor portfolio credit risk simulation in the t-copula model ⋮ Fast and accurate computation of the distribution of sums of dependent log-normals ⋮ Error rates and improved algorithms for rare event simulation with heavy Weibull tails ⋮ Importance Sampling for Sums of Lognormal Distributions with Applications to Operational Risk ⋮ Efficient simulation of ruin probabilities when claims are mixtures of heavy and light tails ⋮ Approximations for finite-time ruin probability in a dependent discrete-time risk model with CMC simulations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large deviations of heavy-tailed sums with applications in insurance
- Waiting-time tail probabilities in queues with long-tail service-time distributions
- Rare events simulation for heavy-tailed distributions
- Sampling at subexponential times, with queueing applications
- Appendix: A primer on heavy-tailed distributions
- Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times
- Simulating heavy tailed processes using delayed hazard rate twisting
- HEAVY TAILS, IMPORTANCE SAMPLING AND CROSS–ENTROPY
- Applied Probability and Queues
- Fast simulation of rare events in queueing and reliability models