<?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>0121-7488</journal-id>
<journal-title><![CDATA[Ciencia en Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ciencia en Desarrollo]]></abbrev-journal-title>
<issn>0121-7488</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-74882024000200125</article-id>
<article-id pub-id-type="doi">10.19053/01217488.v15.n2.2024.14858</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Burr XII Distribution with Truncated and Censored Data: Maximum Likelihood Estimation Based on Newton-Raphson Method]]></article-title>
<article-title xml:lang="es"><![CDATA[Distribución de Burr XII con datos truncados y censurados: Estimación de máxima verosimilitud basada en Método de Newton-Raphson]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Giraldo]]></surname>
<given-names><![CDATA[Ramón]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zarruk]]></surname>
<given-names><![CDATA[Armando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Riveros]]></surname>
<given-names><![CDATA[Edwin]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ciencias Departamento de Estadística]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ciencias Departamento de Matemáticas]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<volume>15</volume>
<numero>2</numero>
<fpage>125</fpage>
<lpage>134</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-74882024000200125&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-74882024000200125&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-74882024000200125&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This work shows a methodology to estimate by maximum likelihood (ML) the parameters of a Burr XII distribution when data are simultaneously left-truncated and right-censored. Given that ML equations do not have a definitive solution under these conditions, an iterative procedure based on the Newton-Raphson method is considered; percentile matching is used to set initial values to the algorithm. Simulation and real data analysis results indicate that the alternative proposed performs well.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este trabajo muestra una metodología para estimar por máxima verosimilitud (ML) los parámetros de una distribución Burr XII cuando los datos son simultáneamente truncados por la izquierda y censurados por la derecha. Dado que las ecuaciones de ML no tienen solución definitiva en estas condiciones, se considera un procedimiento iterativo basado en el método de Newton-Raphson. La coincidencia de percentiles se utiliza para establecer valores iniciales en el algoritmo. Los resultados basados en simulaciones y análisis de datos reales indican que la alternativa propuesta tiene un buen desempeño.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Burr XII distribution]]></kwd>
<kwd lng="en"><![CDATA[censored and truncated data]]></kwd>
<kwd lng="en"><![CDATA[maximum likelihood]]></kwd>
<kwd lng="es"><![CDATA[Distribución Burr XII]]></kwd>
<kwd lng="es"><![CDATA[datos censurados y truncados]]></kwd>
<kwd lng="es"><![CDATA[máxima verosimilitud]]></kwd>
</kwd-group>
</article-meta>
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