{"id":6411,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/beta-inverse\/"},"modified":"2021-02-26T08:02:24","modified_gmt":"2021-02-26T08:02:24","slug":"betainv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/betainv\/","title":{"rendered":"BETA.INVERSE"},"content":{"rendered":"

La fonction BETAINV, d\u00e9sormais appel\u00e9e BETA.INVERSE dans les versions les plus r\u00e9centes d’Excel et Google Sheets, est utilis\u00e9e pour calculer l’inverse de la distribution b\u00eata cumulative. Cette fonction se r\u00e9v\u00e8le particuli\u00e8rement pr\u00e9cieuse dans le domaine des statistiques, notamment dans les analyses de risques et la gestion de la qualit\u00e9. Elle est fr\u00e9quemment employ\u00e9e dans les secteurs impliquant des proportions, des taux ou des fractions.<\/p>\n

Syntaxe de la fonction<\/h2>\n

La syntaxe de la fonction BETA.INVERSE est la suivante :<\/p>\n

BETA.INVERSE(Probabilit\u00e9, Alpha, B\u00eata, [Limite_inf], [Limite_sup])<\/code><\/pre>\n
    \n
  • Probabilit\u00e9<\/b> : Correspond \u00e0 la probabilit\u00e9 associ\u00e9e \u00e0 l’inverse de la distribution cumulative b\u00eata.<\/li>\n
  • Alpha<\/b> : Le param\u00e8tre alpha de la distribution, qui est un nombre positif influen\u00e7ant la forme de la distribution.<\/li>\n
  • B\u00eata<\/b> : Le param\u00e8tre b\u00eata de la distribution, tout comme alpha, un nombre positif.<\/li>\n
  • Limite_inf<\/b> (facultatif) : La borne inf\u00e9rieure de l’intervalle de valeurs possible. La valeur par d\u00e9faut est 0.<\/li>\n
  • Limite_sup<\/b> (facultatif) : La borne sup\u00e9rieure de l’intervalle de valeurs possible. La valeur par d\u00e9faut est 1.<\/li>\n<\/ul>\n
    Exemples pratiques<\/h2>\n
    Estimation d’un seuil<\/h2>\n
    Consid\u00e9rons une entreprise d\u00e9sirant \u00e9tablir un standard de qualit\u00e9 tel que 95% de ses produits soient jug\u00e9s acceptables. Les param\u00e8tres de la distribution b\u00eata sont d\u00e9termin\u00e9s \u00e0 Alpha = 5 et B\u00eata = 3. L’objectif est de trouver le seuil correspondant \u00e0 une probabilit\u00e9 cumulative de 0.95.<\/p>\n
    =BETA.INVERSE(0.95, 5, 3)<\/code><\/pre>\n
    Ce r\u00e9sultat indique le point auquel 95% des valeurs de la distribution sont inf\u00e9rieures, permettant ainsi \u00e0 l’entreprise de d\u00e9finir un crit\u00e8re de qualit\u00e9.<\/p>\n
    Mod\u00e9lisation en finance et en assurance<\/h2>\n
    Dans le secteur financier, la distribution b\u00eata est fr\u00e9quemment utilis\u00e9e pour mod\u00e9liser la variation des rendements de certains investissements ou pour calculer la probabilit\u00e9 de d\u00e9faillance dans l’assurance. Prenons un exemple o\u00f9 il est estim\u00e9 que la distribution est bien d\u00e9crite par Alpha = 2 et B\u00eata = 5, avec un niveau de confiance de 80% :<\/p>\n
    =BETA.INVERSE(0.80, 2, 5)<\/code><\/pre>\n
    Cette valeur aide les analystes \u00e0 comprendre le comportement attendu des rendements ou des \u00e9checs, en se concentrant sur les \u00e9v\u00e9nements les plus susceptibles.<\/p>\n
    En somme, la fonction BETA.INVERSE est un outil statistique essentiel qui permet d’examiner la distribution des \u00e9v\u00e9nements mod\u00e9lis\u00e9s par une distribution b\u00eata. Elle offre aux utilisateurs la possibilit\u00e9 de r\u00e9aliser des pr\u00e9dictions pr\u00e9cises bas\u00e9es sur des analyses probabilistes.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie l\u2019inveRse de la fonction de distRibution cumul\u00e9e pouR une distRibution b\u00eata sp\u00e9cifi\u00e9e<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[317],"tags":[],"class_list":["post-6411","post","type-post","status-publish","format-standard","hentry","category-compatibilite"],"acf":[],"yoast_head":"\nFonction BETAINV (BETA.INVERSE) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction BETAINV (BETA.INVERSE) d\u2019Excel et Google Sheets. 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