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Demmartingales and the functionnal Hill process for small parameters
Associated random variables demimartingales asymptotic laws func-tional Hill process extreme value theory statistical tests.
2012/9/17
Association of random variables and Demimartingales are recent elds for handling asymptotic behaviors of sums of dependent random vari-ables. We apply their techniques to establish the asymptotic law...
Bayesian Subset Simulation: a kriging-based subset simulation algorithm for the estimation of small probabilities of failure
Computer experiments Sequential design Subset Simulation Probability of failure
2012/9/19
The estimation of small probabilities of failure from computer simulations is a classical problem in engineering, and the Subset Simulation algorithm proposed by Au & Beck (Prob. Eng. Mech., 2001) has...
A Bayesian Approach to Detection of Small Low Emission Sources
Bayes factor Model selection Parallel tempering Radiation source detection
2011/7/19
The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some...
Penalized orthogonal-components regression for large p small n data
Empirical Bayes thresholding Latent-variable model Sparse predictors Supervised dimension reduction
2009/9/16
Here we propose a penalized orthogonal-components regression (POCRE) for large $p$ small $n$ data. Orthogonal components are sequentially constructed to maximize, upon standardization, their correlati...