Multilevel Splitting for Estimating Rare Event Probabilities

From MaRDI portal
Publication:2770125

DOI10.1287/opre.47.4.585zbMath0985.65006OpenAlexW2154151239MaRDI QIDQ2770125

Perwez Shahabuddin, Paul Glasserman, Tim Zajic, Philip Heidelberger

Publication date: 7 February 2002

Published in: Operations Research (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/662bffa61710ed81a4f9ac5d9c13a93b714cc3d4



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (48)

Rare event probability estimation in the presence of epistemic uncertainty on input probability distribution parametersAdaptive Multilevel Splitting for Rare Event AnalysisCounting with Combined Splitting and Capture–Recapture MethodsBoundedness conditions for relative error in fast simulation of reliability of non-Markovian systemsParticle methods: An introduction with applicationsCombinatorial analysis of the adaptive last particle methodUnbiased simulation of rare events in continuous timeAnalysis of an interacting particle method for rare event estimationTHE EFFICIENT COMPUTATION AND THE SENSITIVITY ANALYSIS OF FINITE-TIME RUIN PROBABILITIES AND THE ESTIMATION OF RISK-BASED REGULATORY CAPITALStochastic enumeration method for counting NP-hard problemsProbabilistic verification of a biodiesel production system using statistical model checkingThe cross-entropy method with patching for rare-event simulation of large Markov chainsInteracting particle system based estimation of reach probability of general stochastic hybrid systemsBayesian parameter inference for partially observed stopped processesCentral Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized SettingApproximately counting and sampling knowledge statesRandom assignment versus fixed assignment in multilevel importance splitting for estimating stochastic reach probabilitiesNumerical study of extreme mechanical force exerted by a turbulent flow on a bluff body by direct and rare-event sampling techniquesInference and rare event simulation for stopped Markov processes via reverse-time sequential Monte CarloSampling per mode for rare event simulation in switching diffusionsSimulation and estimation of extreme quantiles and extreme probabilitiesRate-tilting for fast simulation of level/phase processesOn a new class of score functions to estimate tail probabilities of some stochastic processes with adaptive multilevel splittingThe design and analysis of a generalized RESTART/DPR algorithm for rare event simulationA combined splitting-cross entropy method for rare-event probability estimation of queueing networksBayesian Subset SimulationSampling Conditionally on a Rare Event via Generalized SplittingARES: Adaptive Receding-Horizon Synthesis of Optimal PlansMultilevel Sequential Importance Sampling for Rare Event EstimationOn Efficiency of Multilevel SplittingEvaluation of steady state probabilities of the \(\bullet/\mathrm{G}/\infty\) queuing system for different input flow modelsEffective branching splitting method under cost constraintOn the Foundations and the Applications of Evolutionary ComputingIntegrating probabilistic design and rare‐event simulation into the requirements engineering process for high‐reliability systemsSequential Monte Carlo for rare event estimationFast simulation of the functional failure of an \(s-t\)-network with repairEvaluation of the probability of functional failure of a redundant system by importance sampling methodAnalysis of adaptive multilevel splitting algorithms in an idealized caseRare event simulation and splitting for discontinuous random variablesRecent advances in various fields of numerical probabilityPricing discretely-monitored double barrier options with small probabilities of executionARMed SPHINCSFast simulation of the customer blocking probability in queueing networks with multicast accessStatistical analysis of a dynamic model for dietary contaminant exposureExtreme Event Quantification in Dynamical Systems with Random ComponentsAnalysis of a Splitting Estimator for Rare Event Probabilities in Jackson NetworksImportance functions for restart simulation of general Jackson networksComparative analysis of two modified fast simulation methods for evaluation of the failure probability of a rank structure system


Uses Software



This page was built for publication: Multilevel Splitting for Estimating Rare Event Probabilities