<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332017000100115</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v24i1.27774</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Dynamic statistical classification]]></article-title>
<article-title xml:lang="es"><![CDATA[Clasificación estadística dinámica]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pulido-Cejudo]]></surname>
<given-names><![CDATA[Javier]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cuevas-Covarrubias]]></surname>
<given-names><![CDATA[Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Anáhuac  ]]></institution>
<addr-line><![CDATA[ México D.F.]]></addr-line>
<country>MX</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2017</year>
</pub-date>
<volume>24</volume>
<numero>1</numero>
<fpage>115</fpage>
<lpage>127</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332017000100115&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332017000100115&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332017000100115&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[AbstractWe consider the statistical supervised classification problem from a dynamical systems approach. We assume that two classes exist and that, for each one, a multivariate normal distribution determines the probability to be in a certain region in the n dimensional real vector space. These density functions are the potentials of corresponding gradient vector fields for each class; we construct a &#8220;classifying vector field&#8221; as a suitable weighted mean of them. From data known in the literature, we estimate the population parameters, and the classes are successfully distinguished; we compute and present confusion matrices. A one and two-dimensional analysis is given.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[ResumenConsideramos el problema de la clasificación estadística supervisada desde la perspectiva de los sistemas dinámicos. Suponemos la existencia de dos clases cuyas poblaciones se distribuyen como normales en un espacio real de dimensión n. Estas funciones de densidad son los potenciales de los correspondientes campos gradientes de cada clase; construímos el &#8220;campo vectorial clasificante&#8221; como un campo promedio con pesos apropiados. A partir de datos bien conocidos en la literatura, estimamos los parámetros poblacionales y las clases son clasificadas exitosamente. Un análisis en dimensiones uno y dos es presentado.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[supervised statistical classification]]></kwd>
<kwd lng="en"><![CDATA[multivariate normal distribution]]></kwd>
<kwd lng="en"><![CDATA[vector fields]]></kwd>
<kwd lng="en"><![CDATA[attractors]]></kwd>
<kwd lng="en"><![CDATA[bifurcation]]></kwd>
<kwd lng="en"><![CDATA[dynamical systems]]></kwd>
<kwd lng="es"><![CDATA[Clasificación estadística supervisada]]></kwd>
<kwd lng="es"><![CDATA[distribución normal multivariada]]></kwd>
<kwd lng="es"><![CDATA[campos vectoriales]]></kwd>
<kwd lng="es"><![CDATA[atractores]]></kwd>
<kwd lng="es"><![CDATA[bifurcación]]></kwd>
<kwd lng="es"><![CDATA[sistemas dinámicos]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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