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We consider the problem of Gaussian approximation for the $\kappa$th coordinate of a sum of high-dimensional random vectors. Such a problem has been studied previously for $\kappa=1$ (i.e., maxima). However, in many applications, a general $\kappa\ge
Externí odkaz:
http://arxiv.org/abs/2408.03039
The knockoffs is a recently proposed powerful framework that effectively controls the false discovery rate (FDR) for variable selection. However, none of the existing knockoff solutions are directly suited to handle multivariate or high-dimensional f
Externí odkaz:
http://arxiv.org/abs/2406.18189
Autor:
Gao, Muhong, Li, Qizhai
Quantifying the strength of functional dependence between random scalars $X$ and $Y$ is an important statistical problem. While many existing correlation coefficients excel in identifying linear or monotone functional dependence, they fall short in c
Externí odkaz:
http://arxiv.org/abs/2403.17670
Aggregating multiple effects is often encountered in large-scale data analysis where the fraction of significant effects is generally small. Many existing methods cannot handle it effectively because of lack of computational accuracy for small p-valu
Externí odkaz:
http://arxiv.org/abs/2107.06040
Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a distance or dissimilarity matrix for outcomes and predictor variables of interest in genetic association s
Externí odkaz:
http://arxiv.org/abs/2105.10145
Missing data are frequently encountered in high-dimensional problems, but they are usually difficult to deal with using standard algorithms, such as the expectation-maximization (EM) algorithm and its variants. To tackle this difficulty, some problem
Externí odkaz:
http://arxiv.org/abs/1802.02251
Akademický článek
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Akademický článek
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Publikováno v:
Journal of the American Statistical Association, 2018 Sep 01. 113(523), 955-972.
Externí odkaz:
https://www.jstor.org/stable/45029722
Publikováno v:
Scandinavian Journal of Statistics, 2018 Mar 01. 45(1), 1-33.
Externí odkaz:
https://www.jstor.org/stable/26593395