<?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>General P-Splines</dc:title>
  <dc:title>R package gps version 1.2</dc:title>
  <dc:description>General P-splines are non-uniform B-splines penalized by a general difference penalty, proposed by Li and Cao (2022) &lt;arXiv:2201.06808&gt;. Constructible on arbitrary knots, they extend the standard P-splines of Eilers and Marx (1996) &lt;doi:10.1214/ss/1038425655&gt;. They are also related to the O-splines of O'Sullivan (1986) &lt;doi:10.1214/ss/1177013525&gt; via a sandwich formula that links a general difference penalty to a derivative penalty. The package includes routines for setting up and handling difference and derivative penalties. It also fits P-splines and O-splines to (x, y) data (optionally weighted) for a grid of smoothing parameter values in the automatic search intervals of Li and Cao (2023) &lt;doi:10.1007/s11222-022-10178-z&gt;. It aims to facilitate other packages to implement P-splines or O-splines as a smoothing tool in their model estimation framework.</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Depends: R (&gt;= 4.0.0)</dc:relation>
  <dc:relation>Imports: stats, splines, Matrix, methods, graphics, grDevices</dc:relation>
  <dc:creator>Zheyuan Li &lt;zheyuan.li@bath.edu&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Zheyuan Li [aut, cre] (ORCID: &lt;https://orcid.org/0000-0002-7434-5947&gt;)</dc:contributor>
  <dc:rights>GPL-3</dc:rights>
  <dc:date>2023-11-02</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=gps</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.gps</dc:identifier>
</oai_dc:dc>