{"id":16740,"date":"2020-05-28T07:50:57","date_gmt":"2020-05-28T07:50:57","guid":{"rendered":"http:\/\/cio.edu.umh.es\/?p=16740"},"modified":"2021-07-22T09:50:08","modified_gmt":"2021-07-22T07:50:08","slug":"small-area-estimation-under-a-measurement-error-bivariate-fay-herriot-model-2020-statistical-methods-applications","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2020\/05\/28\/small-area-estimation-under-a-measurement-error-bivariate-fay-herriot-model-2020-statistical-methods-applications\/","title":{"rendered":"Small area estimation under a measurement error bivariate Fay\u2013Herriot model (2020), Statistical Methods &amp; Applications"},"content":{"rendered":"<p><strong>Jan Pablo Burgard <\/strong><em>\u00a0(Trier University)<\/em><strong>, Mar\u00eda Dolores Esteban <\/strong><em>(University Miguel Hern\u00e1ndez of\u00a0Elche)<\/em><strong>,\u00a0Domingo Morales\u00a0<\/strong><em>(University Miguel Hern\u00e1ndez of\u00a0Elche) <\/em>and<em>\u00a0<\/em><strong>Agust\u00edn P\u00e9rez <\/strong><em>(University Miguel Hern\u00e1ndez of\u00a0Elche).<\/em><br \/>\n<strong>Abstract:<\/strong> The bivariate Fay\u2013Herriot model is an area-level linear mixed model that can be used for estimating the domain means of two correlated target variables. Under this model, the dependent variables are direct estimators calculated from survey data and the auxiliary variables are true domain means obtained from external data sources. Administrative registers do not always give good auxiliary variables, so that statisticians sometimes take them from alternative surveys and therefore they are measured with error. We introduce a variant of the bivariate Fay\u2013Herriot model that takes into account the measurement error of the auxiliary variables and we give fitting algorithms to estimate the model parameters. Based on the new model, we introduce empirical best predictors of domain means and we propose a parametric bootstrap procedure for estimating the mean squared error. We finally give an application to estimate poverty proportions and gaps in the Spanish Living Condition Survey, with auxiliary information from the Spanish Labour Force Survey.<br \/>\n<strong>Keywords: <\/strong> Multivariate models; Fay\u2013Herriot model; small area estimation; measurement error; Monte Carlo simulation; poverty proportion; poverty gap.<\/p>","protected":false},"excerpt":{"rendered":"<p>Jan Pablo Burgard \u00a0(Trier University), Mar\u00eda Dolores Esteban (University Miguel Hern\u00e1ndez of\u00a0Elche),\u00a0Domingo Morales\u00a0(University Miguel Hern\u00e1ndez of\u00a0Elche) and\u00a0Agust\u00edn P\u00e9rez (University Miguel Hern\u00e1ndez of\u00a0Elche).<br \/>\nAbstract: The bivariate Fay\u2013Herriot model is an area-level linear mixed model that can be used for estimating the domain means of two correlated target variables. Under this model, the dependent variables are direct estimators [&#8230;]<\/p>","protected":false},"author":6202,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/16740"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/6202"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=16740"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/16740\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=16740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=16740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=16740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}