Journal
ANNALS OF APPLIED PROBABILITY
Volume 26, Issue 6, Pages 3559-3601Publisher
INST MATHEMATICAL STATISTICS
DOI: 10.1214/16-AAP1185
Keywords
Rare event; adaptive multilevel splitting algorithms; unbiased estimator
Categories
Funding
- Labex Bezout [ANR-10-LABX-58-01]
- INRIA Rocquencourt
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We introduce a generalization of the Adaptive Multilevel Splitting algorithm in the discrete time dynamic setting, namely when it is applied to sample rare events associated with paths of Markov chains. We build an estimator of the rare event probability (and of any nonnormalized quantity associated with this event) which is unbiased, whatever the choice of the importance function and the number of replicas. This has practical consequences on the use of this algorithm, which are illustrated through various numerical experiments.
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