getLpDistance

Computes all pairwise \(l_p^p\) distances for a real matrix \(\mathbf{X}\),
for a specified choice of Minkowski norm exponent \(p\).

Given a multivariate dataset and some knowledge about the dependencies
between its features, it is customary to fit a statistical model to the features
to infer parameters of interest. Such a procedure implicitly assumes that the
sample is exchangeable. This package provides a flexible non-parametric test
of this exchangeability assumption, allowing the user to specify the feature
dependencies by hand as long as features can be grouped into disjoint independent sets.
This package also allows users to test a dual hypothesis, which is, given that the
sample is exchangeable, does a proposed grouping of the features into disjoint sets
also produce statistically independent sets of features? See Aw, Spence and Song (2023)
for the accompanying paper.

Alan Aw

flintyR

Simple and Flexible Tests of Sample Exchangeability

Jeffrey Spence

getLpDistance function

<dl><dt>X</dt>
<dd>The \(N \times P\) real matrix</dd>
<dt>p</dt>
<dd>The power p of \(l_p^p\), i.e., \(||x||_p^p = (x_1^p+...x_n^p)\)</dd></dl>

Arguments

A \(l_p^p\) Distance Vector Calculator — getLpDistance

<dl>

<dt>X</dt>
<dd>The \(N \times P\) real matrix</dd>


<dt>p</dt>
<dd>The power p of \(l_p^p\), i.e., \(||x||_p^p = (x_1^p+...x_n^p)\)</dd>

</dl>

getLpDistance: A \(l_p^p\) Distance Vector Calculator

Description

Usage

Value

Arguments

Details

Examples