Results 11 to 20 of about 269 (141)
Metamodel construction for sensitivity analysis [PDF]
ESAIM: Proceedings and Surveys, 2017 We propose to estimate a metamodel and the sensitivity indices of a complex model m in the Gaussian regression framework. Our approach combines methods for sensitivity analysis of complex models and statistical tools for sparse non-parametric estimation ...
Huet Sylvie, Taupin Marie-Luce
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Hoeffding-type decomposition for U-statistics on bipartite networks
Electronic Journal of StatisticsWe consider a broad class of random bipartite networks, the distribution of which is invariant under permutation within each type of nodes. We are interested in $U$-statistics defined on the adjacency matrix of such a network, for which we define a new type of Hoeffding decomposition based on the Aldous-Hoover-Kallenberg representation of row-column ...
Le Minh, Tâm +3 more
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Fourier Analysis on the Boolean Hypercube via Hoeffding Functional Decomposition
Fourier analysis on the Boolean hypercube is fundamentally defined as the orthogonal decomposition of the space of pseudo-Boolean functions with respect to the uniform probability measure. In this work, we propose an ANOVA-based generalization of the Fourier decomposition on the Boolean hypercube endowed with any arbitrary probability measure.
Ferrere, Baptiste +4 more
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Exchangeable Hoeffding decompositions over finite sets: a characterization and counterexamples [PDF]
, 2012 We study Hoeffding decomposable exchangeable sequences with values in a finite set D. We provide a new combinatorial characterization of Hoeffding decomposability and use this result to show that, if the cardinality of D is strictly greater than 2, then there exists a class of neither Pólya nor i.i.d.
O. El Dakkak +2 more
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Approximations to distribution of median in stratified samples
Lietuvos Matematikos Rinkinys, 2011 We consider an Edgeworth type approximation to the distribution function of sample median in the case of stratified samples drawn without replacement. We give explicit expression of this approximation, and also its empirical version based on bootstrap ...
Andrius Čiginas, Tomas Rudys
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Bootstrap, jackknife and Edgeworth approximations for finite population L-statistics
Lietuvos Matematikos Rinkinys, 2010 In this paper we give exact bootstrap estimators for the parameters defining one-term Edgeworth expansion of distribution function of finite population L-statistic and compare these estimators with corresponding jackknife estimators. We also compare `````
Andrius Čiginas
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The consistency of bootstrap and jackknife variance estimators for finite population L-statistics
Lietuvos Matematikos Rinkinys, 2012 For the linear combinations of order statistics (L-statistics), we present conditions sufficient for the consistency of their finite-population bootstrap variance estimator and the classical jackknife variance estimator.
Andrius Čiginas
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Hoeffding-type decomposition for U-statistics on bipartite networks
, 2023 International audienceBipartite networks are naturally represented by their adjacency matrices. We consider node-exchangeable networks, which means their adjacency matrices are row-column exchangeable.
Robin, Stephane, S. +3 more
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Journal of Multivariate Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omar El-Dakkak +2 more
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On Hoeffding decomposition in $L_{p}$
Illinois Journal of Mathematics, 2010 The Hoeffding decomposition for a \(U\)-statistic of order \(d\) expresses the statistic as a sum of canonical statistics of orders \(k \leq d\). The classical result assumes the statistic is based on random variables with finite variance. \textit{J. Bourgain} [Semin. Anal. Fonct.
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