{"id":3205,"date":"2022-01-05T20:53:01","date_gmt":"2022-01-05T19:53:01","guid":{"rendered":"http:\/\/192.168.1.22\/lsps\/?page_id=3205"},"modified":"2022-01-05T21:08:10","modified_gmt":"2022-01-05T20:08:10","slug":"le-domaine-de-recherche-du-laboratoire","status":"publish","type":"page","link":"https:\/\/www.univ-sba.dz\/lsps\/le-domaine-de-recherche-du-laboratoire\/","title":{"rendered":"Le domaine de recherche du Laboratoire"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3205\" class=\"elementor elementor-3205\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1d56c9a0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1d56c9a0\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-400ba5ab\" data-id=\"400ba5ab\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3fa3f0c7 elementor-widget elementor-widget-heading\" data-id=\"3fa3f0c7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Le domaine de recherche du Laboratoire<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-19d6c0c4 elementor-widget elementor-widget-text-editor\" data-id=\"19d6c0c4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La statistique des processus stochastique occupe d\u00e9sormais une place tr\u00e8s important dans la recherche scientifique en math\u00e9matiques appliqu\u00e9es. Elle concerne la mod\u00e9lisation statistique de donn\u00e9es observ\u00e9es sur un intervalle du temps de fa\u00e7on continue. Les premiers travaux sur ce sujet sont bas\u00e9s sur la discr\u00e9tisation de ces observations, consid\u00e9r\u00e9es dans un espace fonctionnelles, afin de pouvoir adapter des techniques statistique multivari\u00e9es classiques. Mais gr\u00e2ce aux progr\u00e8s de l&rsquo;outil informatique qui a permis de r\u00e9colter les donn\u00e9es discr\u00e9tis\u00e9es sur des grilles de plus en plus fines ce qui les rend intrins\u00e8quement continue, une approche alternative a \u00e9t\u00e9 r\u00e9cemment \u00e9labor\u00e9e consistant \u00e0 traiter ce type de donn\u00e9es dans sa propre dimension, c&rsquo;est-\u00e0-dire en conservant le caract\u00e8re fonctionnel des donn\u00e9es. L&rsquo;importance de ce domaine, connu dans la litt\u00e9rature par la statistique fonctionnelle, provient essentiellement des diff\u00e9rents domaines tels :<\/p><p>\u00a0<\/p><ul><li><strong>Finance<\/strong> (En utilisant les mod\u00e8les conditionnels (la r\u00e9gression, le mode conditionnel, la m\u00e9diane conditionnelle) pour pr\u00e9voir l&rsquo;\u00e9volution d&rsquo;un indice boursier sachant sa trajectoire du pass\u00e9).<\/li><li><strong>\u00c9conomie<\/strong> (En utilisant les versions spatiales des mod\u00e8les ci-dessus pour \u00e9tudier des courbes de croissance \u00e9conomique ou les courbes de consommation d&rsquo;un produit quelconque dans diff\u00e9rentes r\u00e9gions).<\/li><li><strong>Environnement<\/strong> (En utilisant l&rsquo;analyse en composante principale fonctionnelle on peut d\u00e9tecter les courbes des concentrations des gaz les plus polluant).<\/li><li><strong>Traitement de signal<\/strong> (La r\u00e9gression et la r\u00e9gression robuste d\u00e9finissent des outils de classification pour les courbes d&rsquo;enregistrement sonores).<\/li><li><strong>Sismologie<\/strong> (La fonction de hasard et la fonction de hasard conditionnelles sont utilis\u00e9es pour analyser le mouvement des plaques terrestres dans un p\u00e9riode du temps).<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Le domaine de recherche du Laboratoire La statistique des processus stochastique occupe d\u00e9sormais une place tr\u00e8s important dans la recherche scientifique en math\u00e9matiques appliqu\u00e9es. Elle concerne la mod\u00e9lisation statistique de donn\u00e9es observ\u00e9es sur un intervalle du temps de fa\u00e7on continue. Les premiers travaux sur ce sujet sont bas\u00e9s sur la discr\u00e9tisation de ces observations, consid\u00e9r\u00e9es [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","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":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","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":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","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-opacity":"","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-opacity":"","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-opacity":"","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-opacity":"","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-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-3205","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/pages\/3205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/comments?post=3205"}],"version-history":[{"count":12,"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/pages\/3205\/revisions"}],"predecessor-version":[{"id":3221,"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/pages\/3205\/revisions\/3221"}],"wp:attachment":[{"href":"https:\/\/www.univ-sba.dz\/lsps\/wp-json\/wp\/v2\/media?parent=3205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}