<?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>S1409-24332021000200261</article-id>
<article-id pub-id-type="doi">10.15517/rmta.v28i2.44507</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A moment recursive formula for a class of distributions]]></article-title>
<article-title xml:lang="es"><![CDATA[Una fórmula recursiva para los momentos de algunas distribuciones de probabilidad]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rincón]]></surname>
<given-names><![CDATA[Luis]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Ciencias Departamento de Matemáticas]]></institution>
<addr-line><![CDATA[ Ciudad de México]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<volume>28</volume>
<numero>2</numero>
<fpage>261</fpage>
<lpage>277</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332021000200261&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332021000200261&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332021000200261&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract We provide a recursive formula for the computation of moments of distributions belonging to a subclass of the exponential family. This subclass includes important cases as the binomial, negative binomial, Poisson, gamma and normal distribution, among others. The recursive formula provides a procedure to sequentially calculate the moments using only elementary operations. The approach makes no use of the moment generating function.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Se proporciona una fórmula recursiva para calcular los momentos de ciertas distribuciones que pertenecen a una subclase de la familia exponencial. A esta subclase de distribuciones pertenecen las distribuciones binomial, binomial negativa, Poison, gama y normal, entre otras. La fórmula recursiva provee de un procedimiento para calcular los momentos de manera secuencial usando únicamente operaciones elementales. El método no hace uso de la función generadora de momentos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[moments]]></kwd>
<kwd lng="en"><![CDATA[exponential family]]></kwd>
<kwd lng="en"><![CDATA[recursive formula.]]></kwd>
<kwd lng="es"><![CDATA[momentos]]></kwd>
<kwd lng="es"><![CDATA[familia exponencial]]></kwd>
<kwd lng="es"><![CDATA[fórmula recursiva.]]></kwd>
</kwd-group>
</article-meta>
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