<?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>S0120-17512010000100002</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Distribución de probabilidad que involucra algunas funciones hipergeométricas generalizadas]]></article-title>
<article-title xml:lang="en"><![CDATA[Probability Distributions Involving on Generalized Hypergeometric Functions]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[MELÉNDEZ]]></surname>
<given-names><![CDATA[RAFAEL ALFONSO]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CASTILLO]]></surname>
<given-names><![CDATA[JAIME ANTONIO]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[JIMÉNEZ]]></surname>
<given-names><![CDATA[CARLOS JESÚS]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad de la Guajira Grupo de Investigación GIMA Centro de Investigaciones]]></institution>
<addr-line><![CDATA[Riohacha ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad de la Guajira Grupo de Investigación GIMA Centro de Investigaciones]]></institution>
<addr-line><![CDATA[Riohacha ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad de la Guajira Grupo de Investigación GIMA Centro de Investigaciones]]></institution>
<addr-line><![CDATA[Riohacha ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>15</day>
<month>06</month>
<year>2010</year>
</pub-date>
<pub-date pub-type="epub">
<day>15</day>
<month>06</month>
<year>2010</year>
</pub-date>
<volume>33</volume>
<numero>1</numero>
<fpage>13</fpage>
<lpage>24</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512010000100002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512010000100002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512010000100002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Se define una nueva función de probabilidad que involucra algunas funciones hipergeométricas generalizadas; se encontraron algunas propiedades y casos especiales como la gamma y la exponencial. Se establecieron algunas funciones básicas asociadas a la nueva distribución de probabilidad, como la media, momentos, función característica, y se obtienen representaciones gráficas para esta nueva función de probabilidad.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[We define a new function of probability that involves some generalized hypergeometric functions, we found some properties and special cases such as gamma and exponential. We establish some basic functions associated with the new probability distribution like mean, the moments, characteristic function and several graphic representations are obtained for this new function of probability.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[función de densidad de probabilidad]]></kwd>
<kwd lng="es"><![CDATA[función hipergeométrica generalizada]]></kwd>
<kwd lng="es"><![CDATA[función generadora demomento]]></kwd>
<kwd lng="es"><![CDATA[funci\'{o}n característica]]></kwd>
<kwd lng="en"><![CDATA[Probability function]]></kwd>
<kwd lng="en"><![CDATA[Generalized hypergeometric functions]]></kwd>
<kwd lng="en"><![CDATA[The moments]]></kwd>
<kwd lng="en"><![CDATA[Characteristic function]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font size="2" face="verdana">      <p> <b> <font size="4">     <center> Distribuci&oacute;n de probabilidad que involucra algunas funciones hipergeom&eacute;tricas generalizadas </center> </font> </b> </p>      <p> <b> <font size="3">     <center> Probability Distributions Involving on Generalized Hypergeometric Functions </center> </font> </b> </p>      <p>     <center> RAFAEL ALFONSO MEL&Eacute;NDEZ<sup>1</sup>,  JAIME ANTONIO CASTILLO<sup>2</sup>,  CARLOS JES&Uacute;S JIM&Eacute;NEZ<sup>3</sup> </center> </p>      <p> <sup>1</sup>Universidad de la Guajira, Grupo de Investigaci&oacute;n GIMA, Centro de Investigaciones, Riohacha, Colombia. Profesor asociado. Email: <a href="mailto:melendez24@hotmail.com">melendez24@hotmail.com</a>     <br>  <sup>2</sup>Universidad de la Guajira, Grupo de Investigaci&oacute;n GIMA, Centro de Investigaciones, Riohacha, Colombia. Profesor titular. Email: <a href="mailto:jacas68@yahoo.es">jacas68@yahoo.es</a>     <br>  <sup>3</sup>Universidad de la Guajira, Grupo de Investigaci&oacute;n GIMA, Centro de Investigaciones, Riohacha, Colombia. Profesor asociado. Email: <a href="mailto:carlosj114@gmail.com">carlosj114@gmail.com</a>     ]]></body>
<body><![CDATA[<br> </p>  <hr size="1">      <p> <b>     <center> Resumen </center> </b> </p>      <p> Se define una nueva funci&oacute;n de probabilidad que involucra algunas funciones hipergeom&eacute;tricas generalizadas; se encontraron algunas propiedades y casos especiales como la gamma y la exponencial. Se establecieron algunas funciones b&aacute;sicas asociadas a la nueva distribuci&oacute;n de probabilidad, como la media, momentos, funci&oacute;n caracter&iacute;stica, y se obtienen representaciones gr&aacute;ficas para esta nueva funci&oacute;n de probabilidad. </p>      <p> <b> Palabras clave: </b> funci&oacute;n de densidad de probabilidad, funci&oacute;n hipergeom&eacute;trica generalizada, funci&oacute;n generadora demomento, funci\&#39;{o}n caracter&iacute;stica. </p>  <hr size="1">      <p> <b>     <center> Abstract </center> </b> </p>      <p> We define a new function of probability that involves some generalized hypergeometric functions, we found some properties and special cases such as gamma and exponential. We establish some basic functions associated with the new probability distribution like mean, the moments, characteristic function and several graphic representations are obtained for this new function of probability. </p>      <p> <b> Key words: </b> Probability function, Generalized hypergeometric functions, The moments, Characteristic function. </p>  <hr size="1">      <p> Texto completo disponible en <a href="pdf/rce/v33n1/v33n1a02.pdf">PDF</a> </p>  <hr size="1">      ]]></body>
<body><![CDATA[<p> <b> <font size="3"> Referencias </font> </b> </p>       <!-- ref --><p> 1. Agarwal, S. K. &amp; Kalla, S. L. (1996), <i>A Generalized Gamma Distribution and its Applications in Reliability Comm Statist</i>, Theory Method, Oxford. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000024&pid=S0120-1751201000010000200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 2. Al-Musallam, F. &amp; Kalla, S. L. (1998), 'Further Results on a Generalized Gamma Functions Ocurring in Diffraction Theory', <i>Statist, Theory Methods</i> <b>7</b>, 175-190. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000025&pid=S0120-1751201000010000200002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 3. Al-Saqabi, B. N., Kalla, S. L. &amp; Shafea, A. (2002), 'On a Probability Distribution Involving a \tau-confluent Hypergeometric Function of Two Variables', <i>Algebras Groups and Geometries</i> <b>19</b>(2), 254-257. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000026&pid=S0120-1751201000010000200003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 4. Galu&eacute;, L., Al-Zamel, A. &amp; Kalla, S. L. (2005), 'An Extension of Some Humbert&#39;s Functions', <i>International Journal of Applied Mathematics</i> <b>17</b>, 91-106. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000027&pid=S0120-1751201000010000200004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 5. Ghitany, M. E. (1998), 'On a Recent Generalization of Gamma Distribution', <i>Statist, Theory Methods</i> <b>27</b>, 223-233. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000028&pid=S0120-1751201000010000200005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 6. Good, I. J. (1953), 'The Population Frequencies of Species and the Estimation of Population Parameters', <i>Biometrika</i> <b>40</b>, 237-260. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000029&pid=S0120-1751201000010000200006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 7. Hoem, J. N. (1976), 'The Statistical Theory of Demographics Rates', <i>Scandinavian Journal of Statistics</i> <b>3</b>, 160-185. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000030&pid=S0120-1751201000010000200007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 8. Humbert, P. (1920), 'The Confluent Hypergeometric Functions of Two Variables', <i>Proceedings Royal Society of Edinburgh</i> <b>41</b>, 73-96. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000031&pid=S0120-1751201000010000200008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 9. Jorgensen, B. (1982), <i>Statistical Propertiers of Generalized Inverse Gaussians Distributions</i>, Lecture Notes in Statistics, 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=000032&pid=S0120-1751201000010000200009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 10. Kobayashi, K. (1991), 'On a Generalized Gamma Functions Occurring in Diffraction Theory', <i>Journal of the Physical Society of Japan</i> <b>60</b>, 1501-1512. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000033&pid=S0120-1751201000010000200010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 11. Lebedev, N. N. (1965), <i>Special Functions and Their Applications</i>, primera edn, Dover Publications, Inc., 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=000034&pid=S0120-1751201000010000200011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 12. Mathais, A. M. (1993), <i>A Handbook of Special Functions for Statistical and Physical Sciences</i>, Clarendon Press, Oxford. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000035&pid=S0120-1751201000010000200012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 13. Virchenko, N. (1999), 'On Some Generalizations of the Functions Hypergeometric Type', <i>Integral Transforms and Special Functions</i> <b>2</b>, 233-244. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000036&pid=S0120-1751201000010000200013&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 14. Virchenko, N., Kalla, S. L. &amp; Al-Zamel, A. (2001), 'Some Result on a Generalized Hypergeometric Function', <i>Integral Transforms and Special Functions</i> <b>12</b>, 89-100. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000037&pid=S0120-1751201000010000200014&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><center> <b>&#91;Recibido en diciembre de 2008. Aceptado en enero de 2010&#93;</b> </center> <hr size="1">      <p> Este art&iacute;culo se puede citar en <i>LaTeX</i> utilizando la siguiente referencia bibliogr&aacute;fica de <i>BibTeX</i>: </p> <code><font size="2">@ARTICLE{RCEv33n1a02,    <br>  &nbsp;&nbsp;&nbsp; AUTHOR &nbsp;= {Mel&eacute;ndez, Rafael Alfonso and Castillo, Jaime Antonio and Jim&eacute;nez, Carlos Jes&uacute;s},    <br>  &nbsp;&nbsp;&nbsp; TITLE &nbsp; = {{Distribuci&oacute;n de probabilidad que involucra algunas funciones hipergeom&eacute;tricas generalizadas}},    <br>  &nbsp;&nbsp;&nbsp; JOURNAL = {Revista Colombiana de Estad&iacute;stica},    ]]></body>
<body><![CDATA[<br> &nbsp;&nbsp;&nbsp; YEAR &nbsp;&nbsp; = {2010},    <br> &nbsp;&nbsp;&nbsp; volume &nbsp;= {33},    <br> &nbsp;&nbsp;&nbsp; number &nbsp;= {1},    <br> &nbsp;&nbsp;&nbsp; pages &nbsp; = {13-24}    <br> }</font></code>  <hr size="1"> </font>      ]]></body><back>
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<given-names><![CDATA[S. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Al-Zamel]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA['Some Result on a Generalized Hypergeometric Function']]></article-title>
<source><![CDATA[Integral Transforms and Special Functions]]></source>
<year>2001</year>
<volume>12</volume>
<page-range>89-100</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
