Open Access
December 2008 Controlled stratification for quantile estimation
Claire Cannamela, Josselin Garnier, Bertrand Iooss
Ann. Appl. Stat. 2(4): 1554-1580 (December 2008). DOI: 10.1214/08-AOAS186


In this paper we propose and discuss variance reduction techniques for the estimation of quantiles of the output of a complex model with random input parameters. These techniques are based on the use of a reduced model, such as a metamodel or a response surface. The reduced model can be used as a control variate; or a rejection method can be implemented to sample the realizations of the input parameters in prescribed relevant strata; or the reduced model can be used to determine a good biased distribution of the input parameters for the implementation of an importance sampling strategy. The different strategies are analyzed and the asymptotic variances are computed, which shows the benefit of an adaptive controlled stratification method. This method is finally applied to a real example (computation of the peak cladding temperature during a large-break loss of coolant accident in a nuclear reactor).


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Claire Cannamela. Josselin Garnier. Bertrand Iooss. "Controlled stratification for quantile estimation." Ann. Appl. Stat. 2 (4) 1554 - 1580, December 2008.


Published: December 2008
First available in Project Euclid: 8 January 2009

zbMATH: 1156.62023
MathSciNet: MR2655671
Digital Object Identifier: 10.1214/08-AOAS186

Keywords: computer experiments , Monte Carlo methods , Quantile estimation , variance reduction

Rights: Copyright © 2008 Institute of Mathematical Statistics

Vol.2 • No. 4 • December 2008
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