Large Deviations in Rare Events Simulation: Examples, Counterexamples and Alternatives, pp.1-9, 2000. ,
DOI : 10.1007/978-3-642-56046-0_1
Applied Probability and Queues, 2003. ,
The Berry-Esseen bound for Student's statistic. The Annals of Probability, pp.491-503, 1996. ,
DOI : 10.1214/aop/1042644728
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1042644728
Strongly efficient estimators for light-tailed sums, Proceedings of the 1st international conference on Performance evaluation methodolgies and tools , valuetools '06, 2006. ,
DOI : 10.1145/1190095.1190118
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.9178
Efficient rare-event simulation for the maximum of a random walk with heavy-tailed increments. Manuscript, 2007. ,
Efficient Simulation of Light-Tailed Sums: an Old-Folk Song Sung to a Faster New Tune..., 2007. ,
DOI : 10.1007/978-3-642-04107-5_13
State-dependent importance sampling and large deviations, Proceedings of the Sixth International Workshop on Rare Event Simulation, pp.154-161, 2006. ,
DOI : 10.1109/wsc.2007.4419626
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.172.328
: Throwing Ropes Over Rough Mountain Passes, in the Dark, Annual Review of Physical Chemistry, vol.53, issue.1, pp.291-318, 2002. ,
DOI : 10.1146/annurev.physchem.53.082301.113146
Simulating GI/GI/1 queues and insurance risk processes with subexponential distributions, 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165), pp.656-665, 2000. ,
DOI : 10.1109/WSC.2000.899777
Efficiency of high-order moment estimates, IEEE Transactions on Signal Processing, vol.46, issue.1, pp.255-258, 1998. ,
DOI : 10.1109/78.651231
Monte Carlo simulation and large deviations theory for uniformly recurrent Markov chains, Journal of Applied Probability, vol.28, issue.01, pp.44-59, 1990. ,
DOI : 10.1214/aop/1176992159
Introduction to Rare Event Simulation, 2004. ,
DOI : 10.1007/978-1-4757-4078-3
MTTF estimation by Monte Carlo methods using Markov models, pp.312-341, 2002. ,
New Measures of Robustness in Rare Event Simulation, Proceedings of the Winter Simulation Conference, 2005., pp.519-527, 2005. ,
DOI : 10.1109/WSC.2005.1574290
Importance Sampling, Large Deviations, and Differential Games, Stochastics An International Journal of Probability and Stochastic Processes, vol.76, issue.6, pp.481-508, 2004. ,
DOI : 10.1080/10451120410001733845
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.548.5134
Dynamic importance sampling for uniformly recurrent Markov chains, The Annals of Applied Probability, vol.15, issue.1A, pp.1-38, 2005. ,
DOI : 10.1214/105051604000001016
URL : http://arxiv.org/abs/math/0503454
Probability: Theory and Examples, 1996. ,
DOI : 10.1017/CBO9780511779398
Design and Analysis of Simulation Experiments, Kluwer Academic, 1995. ,
An Introduction to Probability Theory and Its Applications, 1971. ,
Monte Carlo Methods in Financial Engineering, 2004. ,
DOI : 10.1007/978-0-387-21617-1
A large deviations perspective on the efficiency of multilevel splitting, IEEE Transactions on Automatic Control, vol.43, issue.12, pp.431666-1679, 1998. ,
DOI : 10.1109/9.736061
Multilevel Splitting for Estimating Rare Event Probabilities, Operations Research, vol.47, issue.4, pp.585-600, 1999. ,
DOI : 10.1287/opre.47.4.585
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.3637
Importance Sampling for Stochastic Simulations, Management Science, vol.35, issue.11, pp.1367-1392, 1989. ,
DOI : 10.1287/mnsc.35.11.1367
URL : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA193585
The Asymptotic Efficiency of Simulation Estimators, Operations Research, vol.40, issue.3, pp.505-520, 1992. ,
DOI : 10.1287/opre.40.3.505
A unified framework for simulating Markovian models of highly reliable systems, IEEE Transactions on Computers, issue.41, pp.36-51, 1992. ,
Monte Carlo Methods, 1964. ,
Fast simulation of rare events in queueing and reliability models, ACM Transactions on Modeling and Computer Simulation, vol.5, issue.1, pp.43-85, 1995. ,
DOI : 10.1145/203091.203094
Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances, Simulation, Handbooks in Operations Research and Management Science, pp.291-350, 2006. ,
DOI : 10.1016/S0927-0507(06)13011-X
Monte Carlo Methods, 1986. ,
Note on the Berry-Esseen Theorem, The Annals of Mathematical Statistics, vol.34, issue.3, pp.1007-1008, 1963. ,
DOI : 10.1214/aoms/1177704037
The advanced theory of statistics, volume 1: Distribution theory, 1977. ,
Rare-events, splitting, and quasi-Monte Carlo, ACM Transactions on Modeling and Computer Simulation, vol.17, issue.9, 2007. ,
Monte Carlo simulation of Markov unreliability models, Nuclear Engineering and Design, vol.77, issue.1, pp.49-62, 1984. ,
DOI : 10.1016/0029-5493(84)90060-8
General conditions for bounded relative error in simulations of highly reliable Markovian systems, Advances in Applied Probability, vol.33, issue.03, pp.687-727, 1996. ,
DOI : 10.1145/174619.174621
Limit Theorems in Probability Theory, 1995. ,
On the optimality and stability of exponential twisting in Monte Carlo estimation, IEEE Transactions on Information Theory, pp.39119-128, 1993. ,
Importance Sampling for the Simulation of Highly Reliable Markovian Systems, Management Science, vol.40, issue.3, pp.333-352, 1994. ,
DOI : 10.1287/mnsc.40.3.333
Importance sampling in the Monte Carlo study of sequential tests. The Annals of Statistics, pp.673-684, 1976. ,
Bounded normal approximation in simulations of highly reliable Markovian systems, Journal of Applied Probability, vol.II, issue.04, pp.974-986, 1999. ,
DOI : 10.1007/BF02187098
On numerical problems in simulations of highly reliable Markovian systems, First International Conference on the Quantitative Evaluation of Systems, 2004. QEST 2004. Proceedings., pp.156-164, 2004. ,
DOI : 10.1109/QEST.2004.1348030
On the efficiency of RESTART for multidimensional state systems, ACM Transactions on Modeling and Computer Simulation, vol.16, issue.3, pp.251-279, 2006. ,
DOI : 10.1145/1147224.1147227
Mathematical Statistics, 1962. ,