Symmetrisation of a class of two-sample tests by mutually considering depth ranks including functional spaces

Cites Work

Nonparametric multivariate rank tests and their unbiasedness
Detecting and estimating changes in dependent functional data
The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
Consistency of \(h\)-mode depth
On a notion of data depth based on random simplices
The Tukey and the random Tukey depths characterize discrete distributions
Robust estimation and classification for functional data via projection-based depth notions
On the use of the bootstrap for estimating functions with functional data
The random Tukey depth
Limit theorems for the simplicial depth
Expansions for statistics involving the mean absolute deviations
Breakdown properties of location estimates based on halfspace depth and projected outlyingness
Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
On distribution-free tests for the multivariate two-sample location-scale model
Ball divergence: nonparametric two sample test
Exact computation of the halfspace depth
A topologically valid definition of depth for functional data
General notions of statistical depth function.
Trimmed means for functional data
An introduction to order statistics
A nonparametric multivariate multisample test based on data depth
A topologically valid construction of depth for functional data
Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with applications
Testing the equality of a large number of means of functional data
Detecting relevant differences in the covariance operators of functional time series: a sup-norm approach
Two-sample test for equal distributions in separate metric space: New maximum mean discrepancy based approaches
Functional data analysis in the Banach space of continuous functions
On the limiting distributions of multivariate depth-based rank sum statistics and related tests
fdANOVA: an R software package for analysis of variance for univariate and multivariate functional data
Unexpected properties of bandwidth choice when smoothing discrete data for constructing a functional data classifier
Functional data analysis.
The spatial distribution in infinite dimensional spaces and related quantiles and depths
A notion of depth for sparse functional data
Integrated depth for functional data: statistical properties and consistency
Data depth-based nonparametric scale tests
Statistical inferences for linear models with functional responses
Lens data depth and median
Control Charts for Multivariate Processes
Approximation Theorems of Mathematical Statistics
Order Statistics
High-Dimensional Statistics
A Quality Index Based on Data Depth and Multivariate Rank Tests
Testing the Equality of Covariance Operators in Functional Samples
Detecting and Dating Structural Breaks in Functional Data Without Dimension Reduction
Multivariate Functional Halfspace Depth
Bootstrapping covariance operators of functional time series
Estimation of the Mean of Functional Time Series and a Two-Sample Problem
On the Concept of Depth for Functional Data
Some notes on the location–scale Cucconi test
One‐Way <scp>anova</scp> for Functional Data via Globalizing the Pointwise F‐test
Sequential block bootstrap in a Hilbert space with application to change point analysis
A combination of Wilcoxon's and Ansari-Bradley's statistics
Non-Parametric Estimation. I. Validation of Order Statistics
Two-Sample Tests for Relevant Differences in the Eigenfunctions of Covariance Operators
Integrated Depths for Partially Observed Functional Data
Statistical depth in abstract metric spaces
Robust nonparametric hypothesis tests for differences in the covariance structure of functional data
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