On asymptotically efficient simulation of large deviation probabilities
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Publication:5694157
DOI10.1239/aap/1118858638zbMath1073.60025OpenAlexW2162501664MaRDI QIDQ5694157
A. B. Dieker, M. R. H. Mandjes
Publication date: 29 September 2005
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1118858638
Monte Carlo methods (65C05) Large deviations (60F10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)
Related Items (7)
State-independent Importance Sampling for Random Walks with Regularly Varying Increments ⋮ Efficient large deviation estimation based on importance sampling ⋮ Large deviation theory for a homogenized and ``corrected elliptic ODE ⋮ Excessive backlog probabilities of two parallel queues ⋮ Efficient Simulation of Random Walks Exceeding a Nonlinear Boundary ⋮ Rare event simulation for T-cell activation ⋮ Efficient Simulation of Large Deviation Events for Sums of Random Vectors Using Saddle-Point Representations
Cites Work
- Large deviations for exchangeable random vectors
- Importance sampling in the Monte Carlo study of sequential tests
- Counterexamples in importance sampling for large deviations probabilities
- Martingale problems for large deviations of Markov processes
- Large deviations for mixtures
- On Monte Carlo estimation of large deviations probabilities
- Importance sampling techniques for the multidimensional ruin problem for general Markov additive sequences of random vectors
- Asymptotically Optimal Importance Sampling and Stratification for Pricing Path-Dependent Options
- Importance Sampling for Portfolio Credit Risk
- Monte Carlo simulation and large deviations theory for uniformly recurrent Markov chains
- On large deviations theory and asymptotically efficient Monte Carlo estimation
- The Asymptotic Efficiency of Simulation Estimators
- Simulating level-crossing probabilities by importance sampling
- On asymptotically efficient simulation of ruin probabilities in a Markovian environment
- On the optimality and stability of exponential twisting in Monte Carlo estimation
- FAST SIMULATION OF A QUEUE FED BY A SUPERPOSITION OF MANY (HEAVY-TAILED) SOURCES
- Fast simulation of overflow probabilities in a queue with Gaussian input
- Importance Sampling, Large Deviations, and Differential Games
- Applied Probability and Queues
- Risk theory in a Markovian environment
- Analysis of an importance sampling estimator for tandem queues
- Fast simulation of rare events in queueing and reliability models
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