<?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>S0120-17512009000100005</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Estimation Stage in Survey Sampling: A Multiparameter Approach]]></article-title>
<article-title xml:lang="es"><![CDATA[Estimación en encuestas por muestreo: un enfoque multiparamétrico]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[GUTIÉRREZ]]></surname>
<given-names><![CDATA[HUGO ANDRÉS]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Santo Tomás Facultad de Estadística Centro de Investigaciones y Estudios Estadísticos (CIEES)]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>15</day>
<month>06</month>
<year>2009</year>
</pub-date>
<pub-date pub-type="epub">
<day>15</day>
<month>06</month>
<year>2009</year>
</pub-date>
<volume>32</volume>
<numero>1</numero>
<fpage>79</fpage>
<lpage>97</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-17512009000100005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-17512009000100005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-17512009000100005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Most of the real applications in survey sampling involve not one, but several characteristics of study. In this paper, a unified framework of joint estimation of the parameters of interest is presented under various sampling designs. The applications of the results of this research entails a significant gain in computational efficiency.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La mayoría de las aplicaciones en encuestas por muestreo involucran múltiples variables de estudio. En este artículo se presenta un marco de referencia para la estimación conjunta de los parámetros de interés en algunos diseños de muestreo. La aplicación de los resultados encontrados garantizan una ganancia significativa en la eficiencia computacional.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Multipurpose survey]]></kwd>
<kwd lng="en"><![CDATA[Multiparameter estimation]]></kwd>
<kwd lng="es"><![CDATA[diseño de encuestas complejas]]></kwd>
<kwd lng="es"><![CDATA[estimación de parámetros]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ 
<font size="2" face="verdana">

    <p>
<b>
<font size="4">
    <center>
Estimation Stage in Survey Sampling: A Multiparameter Approach
</center>
</font>
</b>
</p>

    <p>
<b>
<font size="3">
    <center>
Estimaci&oacute;n en encuestas por muestreo: un enfoque multiparam&eacute;trico
</center>
</font>
</b>
</p>

    <p>
    <center>
HUGO ANDR&Eacute;S GUTI&Eacute;RREZ<sup>1</sup>
</center>
</p>

    <p>
<sup>1</sup>Universidad Santo Tom&aacute;s, Facultad de Estad&iacute;stica, Centro de Investigaciones y Estudios Estad&iacute;sticos (CIEES), Bogot&aacute;, Colombia. Director. Email: <a href="mailto:hugogutierrez@usantotomas.edu.co">hugogutierrez@usantotomas.edu.co</a>
    <br>
</p>

<hr size="1">

    <p>
<b>
    ]]></body>
<body><![CDATA[<center>
Abstract
</center>
</b>
</p>

    <p>
Most of the real applications in survey sampling involve not one, but several characteristics of study. In this paper, a unified framework of joint estimation of the parameters of interest is presented under various sampling designs. The applications of the results of this research entails a significant gain in computational efficiency.
</p>

    <p>
<b>
Key words:
</b>
Multipurpose survey,
Multiparameter estimation.
</p>

<hr size="1">

    <p>
<b>
    <center>
Resumen
</center>
</b>
</p>

    <p>
La mayor&iacute;a de las aplicaciones en encuestas por muestreo involucran m&uacute;ltiples variables de estudio. En este art&iacute;culo se presenta un marco de referencia para la estimaci&oacute;n conjunta de los par&aacute;metros de inter&eacute;s en algunos dise&ntilde;os de muestreo. La aplicaci&oacute;n de los resultados encontrados garantizan una ganancia significativa en la eficiencia computacional.
</p>

    <p>
<b>
Palabras clave:
</b>
dise&ntilde;o de encuestas complejas,
estimaci&oacute;n de par&aacute;metros.
</p>

<hr size="1">

    <p>
Texto completo disponible en <a href="pdf/rce/v32n1/v32n1a05.pdf">PDF</a>
</p>

<hr size="1">

    <p>
<b>
<font size="3">
References
</font>
</b>
</p>


    <!-- ref --><p>
1. Cassady, R. J. & Valiant, R. (1993), `Conditional Properties of Poststratified Estimators under Normal Theory´, <i>Survey Methodology</i> <b>19</b>, 183-192.
&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=S0120-1751200900010000500001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
2. Gupta, A. K. & Nagar, D. K. (2000), <i>Matrix Variate Distributions</i>, Chapmann and Hall, New York, United States.
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000023&pid=S0120-1751200900010000500002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
3. Holmberg, A. (2002a), `A Multiparameter Perspective on the Choice of Sampling Design in Surveys´, <i>Statistics in Transition</i> <b>5</b>, 969-994.
&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=S0120-1751200900010000500003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
4. Holmberg, A. (2002b), On the Choice of Sampling Design under GREG Estimation in Multiparameter Surveys, 1, <i>RD Department, Statistics Sweden</i>, SE-701 89 Örebro, Sweden.
&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=S0120-1751200900010000500004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
5. Lavall&eacute;e, P. & Caron, P. (2001), `Estimation Using the Generalized Weigth Share Method: The use of Record Linkage´, <i>Survey Methodology</i> <b>27</b>, 155-169.
&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=S0120-1751200900010000500005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
6. R Development Core Team, (2008), <i>R: A Language and Environment for Statistical Computing</i>, R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0.
*<a href="http://www.R-project.org">http://www.R-project.org</a>
&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=S0120-1751200900010000500006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
7. S\arndal, (), <i></i>.
&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=S0120-1751200900010000500007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p>
8. Till&eacute;, Y. & Matei, A. (2008), <i>Sampling: Survey Sampling</i>. R package version 2.0.
&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=S0120-1751200900010000500008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><center>
<b>&#91;Recibido en agosto de 2008. Aceptado en febrero de 2009&#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{RCEv32n1a05,    <br>
 &nbsp;&nbsp;&nbsp; AUTHOR &nbsp;= {Guti&eacute;rrez, Hugo Andr&eacute;s},    ]]></body>
<body><![CDATA[<br>
 &nbsp;&nbsp;&nbsp; TITLE &nbsp; = {{Estimation Stage in Survey Sampling: A Multiparameter Approach}},    <br>
 &nbsp;&nbsp;&nbsp; JOURNAL = {Revista Colombiana de Estad&iacute;stica},    <br>
&nbsp;&nbsp;&nbsp; YEAR &nbsp;&nbsp; = {2009},    <br>
&nbsp;&nbsp;&nbsp; volume &nbsp;= {32},    <br>
&nbsp;&nbsp;&nbsp; number &nbsp;= {1},    <br>
&nbsp;&nbsp;&nbsp; pages &nbsp; = {79-97}    <br>
}</font></code>

<hr size="1">
</font>
     ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cassady]]></surname>
<given-names><![CDATA[R. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Valiant]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[`Conditional Properties of Poststratified Estimators under Normal Theory´]]></article-title>
<source><![CDATA[Survey Methodology]]></source>
<year>1993</year>
<volume>19</volume>
<page-range>183-192</page-range></nlm-citation>
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<label>2</label><nlm-citation citation-type="book">
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<surname><![CDATA[Nagar]]></surname>
<given-names><![CDATA[D. K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Matrix Variate Distributions]]></source>
<year>2000</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Chapmann and Hall]]></publisher-name>
</nlm-citation>
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<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
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<surname><![CDATA[Holmberg]]></surname>
<given-names><![CDATA[A.]]></given-names>
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</person-group>
<article-title xml:lang="en"><![CDATA[`A Multiparameter Perspective on the Choice of Sampling Design in Surveys´]]></article-title>
<source><![CDATA[Statistics in Transition]]></source>
<year>2002</year>
<month>a</month>
<volume>5</volume>
<page-range>969-994</page-range></nlm-citation>
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<surname><![CDATA[Holmberg]]></surname>
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<source><![CDATA[On the Choice of Sampling Design under GREG Estimation in Multiparameter Surveys]]></source>
<year>2002</year>
<month>b</month>
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<publisher-name><![CDATA[RD Department, Statistics Sweden]]></publisher-name>
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<surname><![CDATA[Caron]]></surname>
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<article-title xml:lang="en"><![CDATA[`Estimation Using the Generalized Weigth Share Method: The use of Record Linkage´]]></article-title>
<source><![CDATA[Survey Methodology]]></source>
<year>2001</year>
<volume>27</volume>
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<label>6</label><nlm-citation citation-type="book">
<collab>R Development Core Team,</collab>
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<year>2008</year>
</nlm-citation>
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</ref-list>
</back>
</article>
