<?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>S1409-24332019000100082</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v26i1.35527</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Estimación de un modelo de efectos mixtos usando un proceso de difusión parcialmente observado]]></article-title>
<article-title xml:lang="en"><![CDATA[Estimation of a mixed effects model using a partially observed diffusion process]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Soto]]></surname>
<given-names><![CDATA[José]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Infante]]></surname>
<given-names><![CDATA[Saba]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Camacho]]></surname>
<given-names><![CDATA[Franklin]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Amaro]]></surname>
<given-names><![CDATA[Isidro R.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Los Andes  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Carabobo  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad de Investigación de Tecnología Experimental Yachay Tech Escuela de Ciencias Matemáticas y Computacionales ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Ecuador</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de Investigación de Tecnología Experimental Yachay Tech Escuela de Ciencias Matemáticas y Computacionales ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Ecuador</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>26</volume>
<numero>1</numero>
<fpage>82</fpage>
<lpage>98</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332019000100082&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332019000100082&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332019000100082&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen [18] Consideramos un modelo de efectos mixtos general, donde la varia- bilidad de los efectos aleatorios de los individuos o unidades experimen- tales son incorporados a través de una ecuación diferencial estocástica. Estos modelos son útiles para analizar simultáneamente datos de medidas repetidas tomadas en tiempo discreto y con errores. Se implementó un algoritmo Monte Carlo por cadenas de Markov para hacer la inferencia a posteriori. Se realizó un análisis de diagnóstico sobre los parámetros esti- mados para detectar si el modelo es adecuado y mostrar su convergencia, además se muestran las trazas y las densidades estimadas a posteriori. La metodología se ilustró empleando datos sintéticos.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract [22] We consider a general mixed-effects model, where the variability of random effects of experimental individuals or units is incorporated through a stochastic differential equation. These models are useful for simultane- ously analysing data from repeated measurements taken in discrete time and with errors. A Markov chain Monte Carlo algorithm was implemented to make the statistical inference a posteriori. A diagnostic analysis was carried out on the estimated parameters to detect if the model is suitable and show its convergence, in addition to the traces and posterior densities are shown. The methodology is illustrated using simulated data.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[modelos de efectos mixtos]]></kwd>
<kwd lng="es"><![CDATA[ecuaciones diferenciales estocásti- cas]]></kwd>
<kwd lng="es"><![CDATA[algoritmos Monte Carlo por cadenas de Markov]]></kwd>
<kwd lng="en"><![CDATA[mixed effects models]]></kwd>
<kwd lng="en"><![CDATA[stochastic differential equations]]></kwd>
<kwd lng="en"><![CDATA[Markov chains]]></kwd>
<kwd lng="en"><![CDATA[Monte Carlo algorithms]]></kwd>
</kwd-group>
</article-meta>
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