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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | L'Ecuyer, P. Demers, V. Tuffin, B. |
| Copyright Year | 2006 |
| Description | Author affiliation: Departement d'Informatique et de Recherche Oper., Montreal Univ., Que. (L'Ecuyer, P.; Demers, V.; Tuffin, B.) |
| Abstract | Splitting and importance sampling are the two primary techniques to make important rare events happen more frequently in a simulation, and obtain an unbiased estimator with much smaller variance than the standard Monte Carlo estimator. Importance sampling has been discussed and studied in several articles presented at the winter simulation conference in the past. A smaller number of WSC articles have examined splitting. In this paper, we review the splitting technique and discuss some of its strengths and limitations from the practical viewpoint. We also introduce improvements in the implementation of the multilevel splitting technique. This is done in a setting where we want to estimate the probability of reaching B before reaching (or returning to) A when starting from a fixed state $x_{o}$ notin B where A and B are two disjoint subsets of the state space and B is very rarely attained. This problem has several practical applications |
| Starting Page | 137 |
| Ending Page | 148 |
| File Size | 225983 |
| Page Count | 12 |
| File Format | |
| ISBN | 1424405009 |
| DOI | 10.1109/WSC.2006.323046 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2006-12-03 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Monte Carlo methods State estimation State-space methods Discrete event simulation H infinity control Costs Sufficient conditions |
| Content Type | Text |
| Resource Type | Article |
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