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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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A U-statistic Approach to Hypothesis Testing for Structure Discovery in Undirected Graphical Models

TL;DR: The proposed test enables one to answer with statistical significance whether an edge is present in the graph, and convergence results are known for a wide range of distributions, enabling the application of the test to large data samples for which computation time becomes a limiting factor.
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Transport Dependency: Optimal Transport Based Dependency Measures.

TL;DR: In this article, the authors proposed the transport dependency, which is an alternative framework for measuring statistical dependency, based on the notion of optimal transport and is applicable in general Polish spaces.
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Comments on “A Gibbs Sampler for a Class of Random Convex Polytopes”

TL;DR: In this paper, the authors used MCMC to obtain simplex-based Dempster-Suffix (DemPster) based DemPster-Seq2Seq (DemSeq) problem.
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Nonparametric Statistical Inference via Metric Distribution Function in Metric Spaces

TL;DR: In this paper, the authors introduce a class of metric distribution functions through the metric between random objects and a fixed location in metric spaces, which lie the foundation for conducting rational statistical inference for metric space-valued data.
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On confidence intervals for precision matrices and the eigendecomposition of covariance matrices

TL;DR: A new statistical test is demonstrated, which allows us to test for non-zero values of the precision matrix and makes use of the theory of U-statistics to bound the L 2 perturbation of the empirical covariance matrix.
References
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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.
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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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