<?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>0120-1751</journal-id>
<journal-title><![CDATA[Revista Colombiana de Estadística]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.Colomb.Estad.]]></abbrev-journal-title>
<issn>0120-1751</issn>
<publisher>
<publisher-name><![CDATA[Departamento de Estadística - Universidad Nacional de Colombia.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-17512005000100002</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Una aproximación bayesiana al problema de heteroscedasticidad en el modelo lineal simple]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CORREA]]></surname>
<given-names><![CDATA[JUAN CARLOS]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional Escuela de Estadística ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>03</day>
<month>06</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>03</day>
<month>06</month>
<year>2005</year>
</pub-date>
<volume>28</volume>
<numero>1</numero>
<fpage>17</fpage>
<lpage>21</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512005000100002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512005000100002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512005000100002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Presentamos una implementación bayesiana para ayudar a resolver un pro blema de heteroscedaticidad en el modelo de regresión simple, fácilmente extendible al caso múltiple.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[We implement a bayesian solution to the heteroscedasticity problem in simple regression. This solution can be easily generalized to the multiple regression case.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Heteroscedasticidad]]></kwd>
<kwd lng="es"><![CDATA[modelos de regresión]]></kwd>
<kwd lng="es"><![CDATA[estadística bayesiana]]></kwd>
<kwd lng="es"><![CDATA[muestreador de Gibbs]]></kwd>
<kwd lng="en"><![CDATA[Heteroscedasticity]]></kwd>
<kwd lng="en"><![CDATA[Regression models]]></kwd>
<kwd lng="en"><![CDATA[Bayesian statistics]]></kwd>
<kwd lng="en"><![CDATA[Gibbs sampler]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[   <font size="2" face="verdana">        <p>    <center><b><font size="4">Una aproximaci&oacute;n bayesiana al problema de  heteroscedasticidad en el modelo lineal simple</font></b></center></p>    </font>    <p>    <center>   <font size="2" face="verdana">JUAN CARLOS CORREA<sup>1</sup> </font> </center></p>    <font size="2" face="verdana">    <p><sup>1</sup>Profesor asociado. Escuela de Estad&iacute;stica. Universidad Nacional. Sede Medell&iacute;n.  E-mail: <a href="mailto:jccorrea@unalmed.edu.co">jccorrea@unalmed.edu.co</a></p>    <hr size="1">        <p>    <center><b>Resumen</b></center></p>        <p>Presentamos una implementaci&oacute;n bayesiana para ayudar a resolver un pro  blema de heteroscedaticidad en el modelo de regresi&oacute;n simple, f&aacute;cilmente  extendible al caso m&uacute;ltiple.</p>        <p><i><b>Palabras Clave:</b> Heteroscedasticidad, modelos de regresi&oacute;n, estad&iacute;stica bayesiana, muestreador de Gibbs.</i></p>    <hr size="1">        ]]></body>
<body><![CDATA[<p>    <center><b>Abstract</b></center></p>        <p>We implement a bayesian solution to the heteroscedasticity problem in simple  regression. This solution can be easily generalized to the multiple regression  case.</p>        <p><i><b>Keywords:</b> Heteroscedasticity, Regression models, Bayesian statistics, Gibbs  sampler.</i></p>    <hr size="1">        <p>>Texto completo disponible en <a href="pdf/rce/v28n1/v28n1a02.pdf">PDF</a></p>    <hr size="1">        <p><b><font size="3">Referencias</font></b></p>        <!-- ref --><p>1. Gelfand, A. &amp; Smith, A. F. M. (1990), &quot;Sampling based approaches to calculating  marginal densities&quot;, <i>J. Amer. Stat. Assoc</i> <b>85</b>, 398- 409.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000019&pid=S0120-1751200500010000200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>2. Geman, S. &amp; Geman, D. (1984), &quot;Stochastic relaxation, Gibbs distributions and  the bayesian restoration of images&quot;, <i>IEEE Trans. on Pattern Analysis and  Machine Intelligence </i> <b>6</b>, 721- 741.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000020&pid=S0120-1751200500010000200002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>3. Lee, P. M. (1997), <i>Bayesian Statistics: An Introduction,</i> 2 edn, Arnold, London.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000021&pid=S0120-1751200500010000200003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>4. Tanner, M. A. (1996), <i>Tools for Statistical Inference</i>, Springer-Verlag, New York.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000022&pid=S0120-1751200500010000200004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> ]]></body><back>
<ref-list>
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<article-title xml:lang="en"><![CDATA[" Stochastic relaxation, Gibbs distributions and the bayesian restoration of images"]]></article-title>
<source><![CDATA[IEEE Trans. on Pattern Analysis and Machine Intelligence]]></source>
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</back>
</article>
