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A consistent multivariate test of association based on ranks of distances

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TLDR
In this paper, the problem of detecting associations between random vectors of any dimension is considered and a powerful test that is applicable in all dimensions and consistent against all alternatives is proposed. But the test has a simple form, is easy to implement, and has good power.
Abstract
SUMMARY We consider the problem of detecting associations between random vectors of any dimension. Few tests of independence exist that are consistent against all dependent alternatives. We propose a powerful test that is applicable in all dimensions and consistent against all alternatives. The test has a simple form, is easy to implement, and has good power.

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Posted ContentDOI

DepEst: an R package of important dependency estimators for gene network inference algorithms

TL;DR: DepEst (Dependency Estimators), which is a powerful and flexible R package that includes 11 important dependency score estimators that can be used in almost all GNI Algorithms, is presented.
Dissertation

Nodulation gene networks in legumes

Yupeng Li
Posted Content

BEAUTY Powered BEAST

TL;DR: The binary expansion adaptive symmetry test (BEAST) as discussed by the authors approximates the Neyman-Pearson test of uniformity with a weighted sum of symmetry statistics, where the deterministic weight matrix characterizes the power properties of each test.
Journal ArticleDOI

A survey of some recent developments in measures of association

Sourav Chatterjee
- 09 Nov 2022 - 
TL;DR: In this article , a survey of recent developments in measures of association related to a new coefficient of correlation introduced by the author is presented, and a straightforward extension of this coefficient to standard Borel spaces (which includes all Polish spaces) is proposed.
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Journal Article

R: A language and environment for statistical computing.

R Core Team
- 01 Jan 2014 - 
TL;DR: Copyright (©) 1999–2012 R Foundation for Statistical Computing; permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and permission notice are preserved on all copies.
Journal ArticleDOI

The Analysis of Variance

TL;DR: In this paper, the basic theory of analysis of variance by considering several different mathematical models is examined, including fixed-effects models with independent observations of equal variance and other models with different observations of variance.
Journal ArticleDOI

Measuring and testing dependence by correlation of distances

TL;DR: Distance correlation is a new measure of dependence between random vectors that is based on certain Euclidean distances between sample elements rather than sample moments, yet has a compact representation analogous to the classical covariance and correlation.
Journal ArticleDOI

Applied smoothing techniques for data analysis : the kernel approach with S-plus illustrations

TL;DR: 1. Density estimation for exploring data 2. D density estimation for inference 3. Nonparametric regression for explore data 4. Inference with nonparametric regressors 5. Checking parametric regression models 6. Comparing regression curves and surfaces
Journal ArticleDOI

The Analysis of Variance.

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