<?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>Online Change Point Detection for Matrix-Valued Time Series</dc:title>
  <dc:title>R package OLCPM version 0.1.2</dc:title>
  <dc:description>We provide two algorithms for monitoring change points with online matrix-valued time series, under the assumption of a two-way factor structure. The algorithms are based on different calculations of the second moment matrices. One is based on stacking the columns of matrix observations, while another is by a more delicate projected approach. A well-known fact is that, in the presence of a change point, a factor model can be rewritten as a model with a larger number of common factors. In turn, this entails that, in the presence of a change point, the number of spiked eigenvalues in the second moment matrix of the data increases. Based on this, we propose two families of procedures - one based on the fluctuations of partial sums, and one based on extreme value theory - to monitor whether the first non-spiked eigenvalue diverges after a point in time in the monitoring horizon, thereby indicating the presence of a change point. This package also provides some simple functions for detecting and removing outliers, imputing missing entries and testing moments. See more details in He et al. (2021)&lt;doi:10.48550/arXiv.2112.13479&gt;.</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Depends: R (&gt;= 3.5.0)</dc:relation>
  <dc:relation>Imports: LaplacesDemon, RSpectra</dc:relation>
  <dc:creator>Long Yu &lt;fduyulong@163.com&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Yong He [aut],
  Xinbing Kong [aut],
  Lorenzo Trapani [aut],
  Long Yu [aut, cre]</dc:contributor>
  <dc:rights>GPL-2</dc:rights>
  <dc:rights>GPL-3</dc:rights>
  <dc:date>2024-05-30</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=OLCPM</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.OLCPM</dc:identifier>
</oai_dc:dc>
