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CORR
2006
Springer
132views Education» more  CORR 2006»
13 years 4 months ago
Cross-Entropy method: convergence issues for extended implementation
The cross-entropy method (CE) developed by R. Rubinstein is an elegant practical principle for simulating rare events. The method approximates the probability of the rare event by...
Frédéric Dambreville
WSC
2007
13 years 6 months ago
Estimating the probability of a rare event over a finite time horizon
We study an approximation for the zero-variance change of measure to estimate the probability of a rare event in a continuous-time Markov chain. The rare event occurs when the cha...
Pieter-Tjerk de Boer, Pierre L'Ecuyer, Gerardo Rub...
QEST
2010
IEEE
13 years 2 months ago
Rare Event Simulation for Highly Dependable Systems with Fast Repairs
Stochastic model checking has been used recently to assess, among others, dependability measures for a variety of systems. However, the employed numerical methods, as, e.g., suppor...
Daniël Reijsbergen, Pieter-Tjerk de Boer, Wer...
WSC
2004
13 years 5 months ago
A Unified Approach for Finite-Dimensional, Rare-Event Monte Carlo Simulation
We consider the problem of estimating the small probability that a function of a finite number of random variables exceeds a large threshold. Each input random variable may be lig...
Zhi Huang, Perwez Shahabuddin