<?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>S0120-17512007000200007</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Reconstrucción de datos de series de tiempo: una aplicación a la demanda horaria de la electricidad]]></article-title>
<article-title xml:lang="en"><![CDATA[Time Series Data Reconstruction: An Application to the Hourly Demand of Electricity]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[CASTAÑO]]></surname>
<given-names><![CDATA[ELKIN]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>15</day>
<month>12</month>
<year>2007</year>
</pub-date>
<pub-date pub-type="epub">
<day>15</day>
<month>12</month>
<year>2007</year>
</pub-date>
<volume>30</volume>
<numero>2</numero>
<fpage>247</fpage>
<lpage>263</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512007000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512007000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512007000200007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Generalmente, la identificación y estimación de modelos ARIMA parten del supuesto de que las series que se van a analizar no contienen datos faltantes, ni observaciones atípicas, ni existen intervenciones en el período de estudio. Sin embargo, en la práctica, estos problemas pueden ocurrir simultáneamente, afectando la identificación del modelo adecuado y por tanto su capacidad de pronóstico. Este artículo presenta un procedimiento que permite estimar el efecto de las intervenciones, de las observaciones atípicas, estimar las observaciones faltantes y simultáneamente identificar el modelo ARIMA. El procedimiento se aplica a una serie de demanda horaria de electricidad en la cual ocurren los tres eventos mencionados.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Usually, in the identification and estimation of ARIMA models it is supposed that the series to analyze contain neither missing data, nor atypical observations, and interventions do not exist under study period. Nevertheless, in the practice, these problems can happen simultaneously, affecting the identification of the suitable model and therefore his forecasting capacity. This article presents a procedure that allows to estimate the effect of the interventions, of the atypical observations, to estimate the missing observations and simultaneously to identify the ARIMA model. The procedure is applied to a series of hourly electricity demand in which the three mentioned events happen.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[observaciones atípicas]]></kwd>
<kwd lng="es"><![CDATA[observaciones faltantes]]></kwd>
<kwd lng="es"><![CDATA[intervención]]></kwd>
<kwd lng="es"><![CDATA[función de transferencia]]></kwd>
<kwd lng="es"><![CDATA[ARIMA]]></kwd>
<kwd lng="en"><![CDATA[Atypical observations]]></kwd>
<kwd lng="en"><![CDATA[Missing observations]]></kwd>
<kwd lng="en"><![CDATA[Intervention]]></kwd>
<kwd lng="en"><![CDATA[Transfer function]]></kwd>
<kwd lng="en"><![CDATA[ARIMA]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font size="2" face="verdana">      <p> <b> <font size="4">     <center> Reconstrucci&oacute;n de datos de series de tiempo: una aplicaci&oacute;n a la demanda horaria de la electricidad </center> </font> </b> </p>      <p> <b> <font size="3">     <center> Time Series Data Reconstruction: An Application to the Hourly Demand of Electricity </center> </font> </b> </p>      <p>     <center> ELKIN CASTA&Ntilde;O<sup>1</sup> </center> </p>      <p> <sup>1</sup>Universidad Nacional de Colombia, Facultad de Ciencias, Medell&iacute;n, Colombia. Profesor asociado, profesor titular. Email: <a href="mailto:elkincastano@gmail.com">elkincastano@gmail.com</a>     <br> </p>  <hr size="1">      <p> <b>     ]]></body>
<body><![CDATA[<center> Resumen </center> </b> </p>      <p> Generalmente, la identificaci&oacute;n y estimaci&oacute;n de modelos ARIMA parten del supuesto de que las series que se van a analizar no contienen datos faltantes, ni observaciones at&iacute;picas, ni existen intervenciones en el per&iacute;odo de estudio. Sin embargo, en la pr&aacute;ctica, estos problemas pueden ocurrir simult&aacute;neamente, afectando la identificaci&oacute;n del modelo adecuado y por tanto su capacidad de pron&oacute;stico. Este art&iacute;culo presenta un procedimiento que permite estimar el efecto de las intervenciones, de las observaciones at&iacute;picas, estimar las observaciones faltantes y simult&aacute;neamente identificar el modelo ARIMA. El procedimiento se aplica a una serie de demanda horaria de electricidad en la cual ocurren los tres eventos mencionados. </p>      <p> <b> Palabras clave: </b> observaciones at&iacute;picas, observaciones faltantes, intervenci&oacute;n, funci&oacute;n de transferencia, ARIMA. </p>  <hr size="1">      <p> <b>     <center> Abstract </center> </b> </p>      <p> Usually, in the identification and estimation of ARIMA models it is supposed that the series to analyze contain neither missing data, nor atypical observations, and interventions do not exist under study period. Nevertheless, in the practice, these problems can happen simultaneously, affecting the identification of the suitable model and therefore his forecasting capacity. This article presents a procedure that allows to estimate the effect of the interventions, of the atypical observations, to estimate the missing observations and simultaneously to identify the ARIMA model. The procedure is applied to a series of hourly electricity demand in which the three mentioned events happen. </p>      <p> <b> Key words: </b> Atypical observations, Missing observations, Intervention, Transfer function, ARIMA. </p>  <hr size="1">      <p> Texto completo disponible en <a href="pdf/rce/v30n2/v30n2a07.pdf">PDF</a> </p>  <hr size="1">      <p> <b> <font size="3"> Referencias </font> </b> </p>       <!-- ref --><p> 1. Anderson, B. D. O. & Moore, B. J. (1979), <i>Optimal Filtering</i>, Prentice-Hall, Englewood, Cliffs, NJ.. &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=S0120-1751200700020000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 2. Box, G. E. P. & Jenkins, G. M. 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(1989), Reconstrucci&oacute;n de una serie de tiempo censurada usando filtros de Kalman, Tesis de Maestr&iacute;a, Estad&iacute;stica, Universidad Nacional de Colombia, Facultad de Ciencias, Departamento de Estad&iacute;stica, Bogot&aacute;, Colombia. &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=S0120-1751200700020000700014&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 15. Pe&ntilde;a, D. & Maravall, A. (1990), &#39;Interpolation, Outliers and the Inverse Autocorrelations&#39;, <i>Communications in Statistics</i> <b>A20</b>(10), 3175-3186. &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=S0120-1751200700020000700015&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p> 16. Said, S. & Dickey, D. (1984), &#39;Testing Unit Roots in Autoregresive-Moving Average Models with Unknown Order&#39;, <i>Biometrika</i> <b>71</b>, 599-601. &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=S0120-1751200700020000700016&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><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{Casta&ntilde;o07,    <br> AUTHOR = 	 {Elkin Casta&ntilde;o}    <br> TITLE = 	 {{Reconstrucci&oacute;n de datos de series de tiempo: una aplicaci&oacute;n a la demanda horaria de la electricidad}},    <br> JOURNAL = 	 {Revista Colombiana de Estad&iacute;stica},    <br> YEAR =		 {2007},    ]]></body>
<body><![CDATA[<br> volume =	 {30},    <br> number =	 {2},    <br> pages =		 {247-263}    <br> }</font></code>  <hr size="1"> </font>      ]]></body><back>
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