{"id":6843,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/loi-weibull-n\/"},"modified":"2021-02-26T08:16:21","modified_gmt":"2021-02-26T08:16:21","slug":"weibull-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/weibull-dist\/","title":{"rendered":"LOI.WEIBULL.N"},"content":{"rendered":"<h2>Introduction \u00e0 la fonction LOI.WEIBULL.N<\/h2>\n<p>La fonction <code>WEIBULL.DIST<\/code> dans Microsoft Excel et <code>LOI.WEIBULL.N<\/code> dans Google Sheets calculent la distribution Weibull, r\u00e9f\u00e9rence fr\u00e9quente en ing\u00e9nierie de fiabilit\u00e9 et en analyse de survie. Elle peut renvoyer la densit\u00e9 de probabilit\u00e9 (mode PDF) ou la fonction de r\u00e9partition cumul\u00e9e (mode CDF).<\/p>\n<h2>Syntaxe et Param\u00e8tres<\/h2>\n<p>La syntaxe de la fonction se pr\u00e9sente ainsi :<\/p>\n<pre><code>WEIBULL.DIST(x, alpha, beta, cumulative) LOI.WEIBULL.N(x, alpha, beta, cumulative)<\/code><\/pre>\n<ul>\n<li><strong>x<\/strong> : La valeur d&rsquo;entr\u00e9e pour laquelle la fonction est calcul\u00e9e.<\/li>\n<li><strong>alpha<\/strong> : Param\u00e8tre de forme de la distribution.<\/li>\n<li><strong>beta<\/strong> : Param\u00e8tre d&rsquo;\u00e9chelle de la distribution.<\/li>\n<li><strong>cumulative<\/strong> : Bool\u00e9en indiquant le mode de calcul ; si vrai (<code>TRUE<\/code>), calcule la fonction cumul\u00e9e ; sinon, renvoie la densit\u00e9 de probabilit\u00e9.<\/li>\n<\/ul>\n<h2>Exemples d&rsquo;utilisation<\/h2>\n<pre><code>=WEIBULL.DIST(4, 1.2, 3, TRUE) =LOI.WEIBULL.N(4, 1.2, 3, TRUE)<\/code><\/pre>\n<h2>Applications pratiques<\/h2>\n<h2>Analyse de fiabilit\u00e9<\/h2>\n<p>Imaginez \u00e9valuer la fiabilit\u00e9 d&rsquo;un composant suivant une distribution Weibull avec des param\u00e8tres <code>alpha<\/code> \u00e0 1.5 et <code>beta<\/code> \u00e0 4000 heures.<\/p>\n<p>Question : Quelle est la probabilit\u00e9 que le composant fonctionne plus de 2000 heures?<\/p>\n<pre><code>=1 - WEIBULL.DIST(2000, 1.5, 4000, TRUE)<\/code><\/pre>\n<p>Explication : Calcul de la probabilit\u00e9 que le composant d\u00e9passe 2000 heures en utilisant la fonction cumul\u00e9e.<\/p>\n<h2>Analyse de survie<\/h2>\n<p>Pour une \u00e9tude sur la dur\u00e9e avant qu&rsquo;un \u00e9v\u00e9nement ne se produise (par exemple, la rechute d&rsquo;une maladie), avec une distribution Weibull o\u00f9 alpha = 0.9 et beta = 180 jours.<\/p>\n<p>Question : Quelle est la densit\u00e9 de probabilit\u00e9 de rechute au 90\u00e8me jour?<\/p>\n<pre><code>=WEIBULL.DIST(90, 0.9, 180, FALSE)<\/code><\/pre>\n<p>Commentaire : Ce calcul estime la probabilit\u00e9 que la rechute survienne exactement le 90\u00e8me jour, fournissant des perspectives pour des strat\u00e9gies de traitement.<\/p>\n<h2>Conclusion<\/h2>\n<p>Les fonctions <code>WEIBULL.DIST<\/code> et <code>LOI.WEIBULL.N<\/code> sont essentielles pour l&rsquo;analyse de donn\u00e9es suivant une distribution Weibull, utilis\u00e9e couramment dans les \u00e9tudes de fiabilit\u00e9 et d&rsquo;analyse de survie. Elles permettent d&rsquo;analyser et de pr\u00e9dire des ph\u00e9nom\u00e8nes bas\u00e9s sur des mod\u00e8les temporels continus ou d&rsquo;autres m\u00e9triques quantitatives.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Renvoie la pRobabilit\u00e9 d\u2019une vaRiable al\u00e9atoiRe suivant une loi de Weibull<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[315],"tags":[],"class_list":["post-6843","post","type-post","status-publish","format-standard","hentry","category-statistiques"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fonction WEIBULL.DIST (LOI.WEIBULL.N) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction WEIBULL.DIST (LOI.WEIBULL.N) d\u2019Excel et Google Sheets. 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