{"id":8111,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/problemas-de-interes-en-la-regresion-lineal-local-multivariante\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"problemas-de-interes-en-la-regresion-lineal-local-multivariante","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/problemas-de-interes-en-la-regresion-lineal-local-multivariante\/","title":{"rendered":"Problemas de interes en la regresion lineal local multivariante."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Tomas Alcala Nalvaiz <\/strong><\/h2>\n<p>La memoria se enmarca dentro de la estimacion no parametrica de funcionales estadisticos, concretamente de la funcion de regresion multivariante.Se estudian propiedades asintoticas del estimador de regresion lineal local por minimos cuadrados ponderados, utilizando pesos tipo nucleo.A lo largo de todo el estudio se utilizan matrices de parametros de suavizado no diagonales, demostrado que existen situaciones donde su adecuado uso reduce el orden del error cuadratico medio del estimador.Se desarrollan una serie de resultados de caracter tecnico sobre ciertos estadisticos simetricos relacionados con el estimador de regresion lineal local multivariante, consecuencia de una nueva representacion del mismo como cociente de estos estadisticos. Entre los resultados, destaca el orden de convergencia en norma del supremo, entre sus funciones de distribucion y sus correspondientes distribuciones normales asintoticas.  finalmente se desmuestra la convergencia debil del proceso de error asociado al estimador de regresion lineal local como funcion de la matriz de parametros de suavizado, mediante el uso de resultados sobre la convergencia de procesos estocasticos en tiempo multivariante.  se realizan tambien ciertas simulaciones sobre modelos concretos que analizan, sobre muestras finitas, las conclusiones asintoticas obtenidas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Problemas de interes en la regresion lineal local multivariante.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Problemas de interes en la regresion lineal local multivariante. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Tomas Alcala Nalvaiz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jos\u00e9 Antonio Crist\u00f3bal Crist\u00f3bal<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Pilar Olave Rubio <\/li>\n<li>Antonio Cuevas Gonz\u00e1lez (vocal)<\/li>\n<li>Wenceslao Gonz\u00e1lez Manteiga (vocal)<\/li>\n<li> Lopez De Silanes M. Cruz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Tomas Alcala Nalvaiz La memoria se enmarca dentro de la estimacion no parametrica de funcionales estadisticos, concretamente [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3148,1477,126,5688,13610],"tags":[3151,2768,28576,28575,28574,2767],"class_list":["post-8111","post","type-post","status-publish","format-standard","hentry","category-analisis-multivariante","category-estadistica","category-matematicas","category-tecnicas-de-inferencia-estadistica","category-zaragoza","tag-antonio-cuevas-gonzalez","tag-jose-antonio-cristobal-cristobal","tag-lopez-de-silanes-m-cruz","tag-pilar-olave-rubio","tag-tomas-alcala-nalvaiz","tag-wenceslao-gonzalez-manteiga"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/8111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=8111"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/8111\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=8111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=8111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=8111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}