<?xml version="1.0" encoding="UTF-8"?>
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>Matrix Kendall's Tau and Matrix Elliptical Factor Model</dc:title>
  <dc:title>R package MKendall version 1.5-4</dc:title>
  <dc:description>Large-scale matrix-variate data have been widely observed nowadays in various research areas such as finance, signal processing and medical imaging. Modelling matrix-valued data by matrix-elliptical family not only provides a flexible way to handle heavy-tail property and tail dependencies, but also maintains the intrinsic row and column structure of random matrices. We proposed a new tool named matrix Kendall's tau which is efficient for analyzing random elliptical matrices. By applying this new type of Kendell’s tau to the matrix elliptical factor model, we propose a Matrix-type Robust Two-Step (MRTS) method to estimate the loading and factor spaces. See the details in He at al. (2022) &lt;arXiv:2207.09633&gt;. In this package, we provide the algorithms for calculating sample matrix Kendall's tau, the MRTS method and the Matrix Kendall's tau Eigenvalue-Ratio (MKER) method which is used for determining the number of factors.</dc:description>
  <dc:type>Software</dc:type>
  <dc:creator>Yalin Wang &lt;wangyalin@mail.sdu.edu.cn&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Yong He [aut],
  Yalin Wang [aut, cre],
  Long Yu [aut],
  Wang Zhou [aut],
  Wenxin Zhou [aut]</dc:contributor>
  <dc:rights>GPL-2</dc:rights>
  <dc:date>2024-03-11</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=MKendall</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.MKendall</dc:identifier>
</oai_dc:dc>
