Polar2Rec

Given a polar coordinate representation <code>(R,Theta)</code> of a
<code>d</code>-dimensional vector <code>X</code>, where <code>R</code> is the length of
<code>X</code> and the <code>(d-1)</code>-dimensional vector <code>Theta</code> contains the
<code>d-1</code> angles of <code>X</code>, this function compute <code>X</code> in its
rectangular coordinate representation.

Provides an implementation of a kernel-embedding of probability test for elliptical distribution. This is an asymptotic test for elliptical distribution under general alternatives, and the location and shape parameters are assumed to be unknown. Some side-products are posted, including the transformation between rectangular and polar coordinates and two product-type kernel functions. See Tang and Li (2024) <doi:10.48550/arXiv.2306.10594> for details.

Yin Tang

KEPTED

Kernel-Embedding-of-Probability Test for Elliptical Distribution

Bing Li

Polar2Rec function

<dl><dt>R</dt>
<dd>The length of <code>X</code>.</dd>
<dt>Theta</dt>
<dd>A vector of length <code>d-1</code>, containing the angles of <code>X</code>.</dd></dl>

Arguments

Polar to rectangular coordinates — Polar2Rec

<dl>

<dt>R</dt>
<dd>The length of <code>X</code>.</dd>


<dt>Theta</dt>
<dd>A vector of length <code>d-1</code>, containing the angles of <code>X</code>.</dd>

</dl>

Polar2Rec: Polar to rectangular coordinates

Description

Usage

Value

Arguments

Details

References

Examples