<?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>S0120-17512018000100109</article-id>
<article-id pub-id-type="doi">10.15446/rce.v41n1.66542</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The Odd Log-Logistic Dagum Distribution: Properties and Applications]]></article-title>
<article-title xml:lang="es"><![CDATA[La distribución Odd Log-Logistica de Dagum: propiedades y aplicaciones]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Domma]]></surname>
<given-names><![CDATA[Filippo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Eftekharian]]></surname>
<given-names><![CDATA[Abbas]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Afify]]></surname>
<given-names><![CDATA[Ahmed Z.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alizadeh]]></surname>
<given-names><![CDATA[Morad]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ghosh]]></surname>
<given-names><![CDATA[Indranil]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Calabria  ]]></institution>
<addr-line><![CDATA[Rende CS ]]></addr-line>
<country>Italy</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,University of Hormozgan  ]]></institution>
<addr-line><![CDATA[Bandar Abbas ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Benha University  ]]></institution>
<addr-line><![CDATA[Benha ]]></addr-line>
<country>Egypt</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Persian Gulf University  ]]></institution>
<addr-line><![CDATA[Bushehr ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,University of North Carolina  ]]></institution>
<addr-line><![CDATA[Wilmington city ]]></addr-line>
<country>USA</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2018</year>
</pub-date>
<volume>41</volume>
<numero>1</numero>
<fpage>109</fpage>
<lpage>135</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512018000100109&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512018000100109&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512018000100109&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este artículo introduce un nuevo modelo de sobrevida de cuatro parámetros llamado la distribución Odd Log-Logistica de Dagum. El nuevo modelo tiene la ventaja de ser capaz de modelar varias formas de envejecimiento y criterios de falla. Derivamos propiedades estructurales del modelo Odd Log-Logistica de Dagum tales como estadísticos de orden y momentos incompletos. El método de máxima verosimilitud es usado para estimar los parámetros del modelo. Se discuten resultados de algunas simulaciones, las cuales permitieron establecer la eficiencia del método de máxima verosimilitud. Probamos empíricamente la importancia y flexibilidad del nuevo modelo a través de un ejemplo en datos reales.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Dagum Distribution]]></kwd>
<kwd lng="en"><![CDATA[Maximum Likelihood]]></kwd>
<kwd lng="en"><![CDATA[Odd Log-Logistic Family]]></kwd>
<kwd lng="en"><![CDATA[Order Statistics]]></kwd>
<kwd lng="es"><![CDATA[distribución Dagum]]></kwd>
<kwd lng="es"><![CDATA[familia Odd-Log-Logística]]></kwd>
<kwd lng="es"><![CDATA[máxima verosimilitud]]></kwd>
<kwd lng="es"><![CDATA[estadísticas de orden]]></kwd>
</kwd-group>
</article-meta>
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