{"id":36991,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estimacion-polinomica-local-del-espectro-poblacional\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"estimacion-polinomica-local-del-espectro-poblacional","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estimacion-polinomica-local-del-espectro-poblacional\/","title":{"rendered":"Estimacion polinomica local del espectro poblacional."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan Artiles Romero <\/strong><\/h2>\n<p>El an\u00e1lisis espectral de series temporales, es un campo extensamente estudiado en el contexto de la observaci\u00f3n de una \u00fanica serie. Existen no obstante, situaciones en astronom\u00eda y medicina, en las que se disponen de r series temporales, normalmente evaluadas en los mismos instantes de tiempo. En l\u00edneas generales, tales series no pueden considerarse realizaciones de un mismo proceso estoc\u00e1stico estacionario, debido posiblemente, a la heterogeneidad de los objetos sobre los que se eval\u00faan dichas series. Cabe mas bien suponer, que cada serie es la realizaci\u00f3n de un espec\u00edfico proceso estacionario, y por tanto, cada serie tendr\u00e1 su propio espectro, y \u00e9ste puede considerarse como la realizaci\u00f3n de un cierto proceso. Interesa en tales casos el estudio de su funci\u00f3n de medias, a la que diggle y al-wasel llaman espectro poblacional.  abordamos la estimaci\u00f3n del espectro poblacional, a partir de r series temporales, observadas en los mismos instantes de tiempo. De la misma manera que el periodograma es la base de la estimaci\u00f3n de la funci\u00f3n de densidad espectral, en el contexto de una \u00fanica serie temporal, el periodograma medio es el fundamento de la estimaci\u00f3n del espectro poblacional.  las favorables propiedades de los estimadores de n\u00facleo polin\u00f3mico local, son un descubrimiento relativamente reciente. J. Fan (1992) lo estudia en problemas de regresi\u00f3n no param\u00e9trica. Nosotros lo hacemos para estimar la funci\u00f3n de densidad espectral poblacional. Se demuestran varios teoremas, relacionados con el sesgo, varianza y distribuci\u00f3n asint\u00f3tica del estimador.  se obtienen los desarrollos de edgeworth, para estudiar la aproximaci\u00f3n de la distribuci\u00f3n, del pivote que se construye con el estimador, a trav\u00e9s del bootstrap.  asimismo obtenemos las bandas de confianza bootstrap y se realizan diversas simulaciones, con datos generados por un proceso ma(2).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estimacion polinomica local del espectro poblacional.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estimacion polinomica local del espectro poblacional. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan Artiles Romero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Palmas de gran canaria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Pedro Saavedra Santana<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Pilar Ibarrola Mu\u00f1oz <\/li>\n<li> Santana Del Pino Angelo (vocal)<\/li>\n<li>Vicente Quesada Paloma (vocal)<\/li>\n<li>Jos\u00e9 Mar\u00eda Limi\u00f1ana Ca\u00f1al (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Artiles Romero El an\u00e1lisis espectral de series temporales, es un campo extensamente estudiado en el contexto [&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 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