FAST SIMULATION OF A QUEUE FED BY A SUPERPOSITION OF MANY (HEAVY-TAILED) SOURCES
Probability in the Engineering and Informational Sciences
Rare Event Simulation using Monte Carlo Methods
Rare Event Simulation using Monte Carlo Methods
Introduction to Rare Event Simulation
Introduction to Rare Event Simulation
Efficient Monte Carlo simulation via the generalized splitting method
Statistics and Computing
On large deviations theory and asymptotically efficient Monte Carlo estimation
IEEE Transactions on Information Theory
Small Variance Estimators for Rare Event Probabilities
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special Issue on Monte Carlo Methods in Statistics
Markov chain importance sampling with applications to rare event probability estimation
Statistics and Computing
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In some rare-event settings, exponentially twisted distributions perform very badly. One solution to this problem is to use mixture distributions. However, it is difficult to select a good mixture distribution for importance sampling. We here introduce a simple adaptive method for choosing good mixture importance sampling distributions.