Cov.asy

Supporting function for <code>RISE</code> and <code>rTests.base</code>.
Computes the 2x2 asymptotic covariance matrix of \((U_x, U_y)\) under the
permutation null distribution.

internal

Implements the Rank In Similarity Graph Edge-count two-sample test
(RISE) for high-dimensional and non-Euclidean data.
The method constructs similarity-based graphs, such as k-nearest neighbor graph (k-NNG),
k-minimum spanning tree (k-MST), and k-minimum distance non-bipartite pairing (k-MDP),
and evaluates rank-based within-sample edge counts
with asymptotic and permutation p-values.
For methodological details, see Zhou and Chen (2023)
<https://proceedings.mlr.press/v195/zhou23a.html>.

Doudou Zhou

GraphRankTest

Rank in Similarity Graph Edge-Count Two-Sample Test (RISE)

Hao Chen

Cov.asy function

<dl><dt>R</dt>
<dd>Symmetric nonnegative matrix (N x N) with zero diagonal.</dd>
<dt>m</dt>
<dd>Sample size of X.</dd>
<dt>n</dt>
<dd>Sample size of Y.</dd></dl>

Arguments

Asymptotic Covariance of (Ux, Uy) under Permutation Null — Cov.asy

<dl>

<dt>R</dt>
<dd>Symmetric nonnegative matrix (N x N) with zero diagonal.</dd>


<dt>m</dt>
<dd>Sample size of X.</dd>


<dt>n</dt>
<dd>Sample size of Y.</dd>

</dl>

Cov.asy: Asymptotic Covariance of (Ux, Uy) under Permutation Null

Description

Usage

Value

Arguments