{"id":5877,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/weibull-dist\/"},"modified":"2021-02-26T10:05:58","modified_gmt":"2021-02-26T10:05:58","slug":"weibull-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/weibull-dist\/","title":{"rendered":"WEIBULL.DIST"},"content":{"rendered":"

Funkce WEIBULL.DIST v aplikac\u00edch Microsoft Excel a Google Sheets umo\u017e\u0148uje v\u00fdpo\u010det hodnot podle Weibullova rozd\u011blen\u00ed, co\u017e je d\u016fle\u017eit\u00e9 p\u0159i anal\u00fdz\u00e1ch spolehlivosti a odhadu \u017eivotnosti prvk\u016f. Toto rozd\u011blen\u00ed bylo pojmenov\u00e1no po \u0161v\u00e9dsk\u00e9m matematikovi Waloddim Weibullovi. N\u00e1sleduj\u00edc\u00ed text poskytuje podrobn\u00fd popis t\u00e9to funkce a ilustruje jej\u00ed praktick\u00e9 vyu\u017eit\u00ed.<\/p>\n

Syntaxe a popis funkce<\/h2>\n

Funkce WEIBULL.DIST m\u00e1 n\u00e1sleduj\u00edc\u00ed syntaxi:<\/p>\n

WEIBULL.DIST(x, shape, scale, cumulative)<\/code><\/pre>\n
    \n
  • x<\/code> – Hodnota, pro kterou vypo\u010d\u00edt\u00e1v\u00e1me funkci.<\/li>\n
  • shape<\/code> – Parametr tvaru rozd\u011blen\u00ed, zn\u00e1m\u00fd tak\u00e9 jako alfa, kter\u00fd mus\u00ed b\u00fdt v\u011bt\u0161\u00ed ne\u017e 0.<\/li>\n
  • scale<\/code> – Parametr m\u011b\u0159\u00edtka rozd\u011blen\u00ed, zn\u00e1m\u00fd tak\u00e9 jako beta, kter\u00fd mus\u00ed b\u00fdt v\u011bt\u0161\u00ed ne\u017e 0.<\/li>\n
  • cumulative<\/code> – Logick\u00e1 hodnota ur\u010duj\u00edc\u00ed, zda funkce vrac\u00ed hodnotu funkce hustoty pravd\u011bpodobnosti (pokud je FALSE<\/code>) nebo kumulativn\u00ed distribu\u010dn\u00ed funkci (pokud je TRUE<\/code>).<\/li>\n<\/ul>\n
    Uk\u00e1zka pou\u017eit\u00ed:<\/p>\n
    =WEIBULL.DIST(105, 1.5, 100, TRUE)<\/code><\/pre>\n
    Tento p\u0159\u00edklad vr\u00e1t\u00ed kumulativn\u00ed pravd\u011bpodobnost pro Weibullovo rozd\u011blen\u00ed s parametrem tvaru 1.5 a parametrem m\u011b\u0159\u00edtka 100 p\u0159i hodnot\u011b x = 105.<\/p>\n
    Praktick\u00e9 p\u0159\u00edpady pou\u017eit\u00ed<\/h2>\n
    P\u0159edpov\u011b\u010f \u017eivotnosti produktu<\/h3>\n
    P\u0159edpokl\u00e1dejme, \u017ee m\u00e1me data o \u017eivotnosti \u017e\u00e1rovek a chceme ur\u010dit pravd\u011bpodobnost, \u017ee \u017e\u00e1rovka vydr\u017e\u00ed d\u00e9le ne\u017e 1500 hodin. Parametry pro Weibullovo rozd\u011blen\u00ed, z\u00edskan\u00e9 z experiment\u016f nebo historick\u00fdch dat, jsou shape = 2.3 a scale = 1200.<\/p>\n
    =WEIBULL.DIST(1500, 2.3, 1200, TRUE)<\/code><\/pre>\n
    Tento vzorec n\u00e1m poskytne pravd\u011bpodobnost, \u017ee n\u00e1hodn\u011b vybran\u00e1 \u017e\u00e1rovka z dan\u00e9 s\u00e9rie vydr\u017e\u00ed m\u00e9n\u011b ne\u017e 1500 hodin. Abychom z\u00edskali pravd\u011bpodobnost, \u017ee vydr\u017e\u00ed d\u00e9le, odecteme tento v\u00fdsledek od 1:<\/p>\n
    =1 - WEIBULL.DIST(1500, 2.3, 1200, TRUE)<\/code><\/pre>\n
    Analyzov\u00e1n\u00ed spolehlivosti komponentu<\/h3>\n
    M\u00e1me kritick\u00fd komponent syst\u00e9mu, a pot\u0159ebujeme zjistit pravd\u011bpodobnost, \u017ee tento komponent p\u0159e\u017eije alespo\u0148 1000 hodin bez selh\u00e1n\u00ed. Parametry Weibullov\u00e9ho rozd\u011blen\u00ed jsou nastaveny na shape = 1.8 a scale = 850.<\/p>\n
    =1 - WEIBULL.DIST(1000, 1.8, 850, TRUE)<\/code><\/pre>\n
    Tento vzorec umo\u017e\u0148uje ur\u010dit pravd\u011bpodobnost, \u017ee dan\u00fd komponent vydr\u017e\u00ed v\u00edce ne\u017e 1000 hodin, co\u017e je kl\u00ed\u010dov\u00e9 pro rozhodov\u00e1n\u00ed o \u00fadr\u017eb\u011b nebo v\u00fdm\u011bn\u011b komponent\u016f.<\/p>\n
    Oba tyto p\u0159\u00edklady demonstruj\u00ed, jak lze funkci WEIBULL.DIST vyu\u017e\u00edt pro zlep\u0161en\u00ed pl\u00e1nov\u00e1n\u00ed a predikce v oblastech, kde jsou d\u016fle\u017eit\u00e9 informace o spolehlivosti a \u017eivotnosti produkt\u016f a komponent.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Vr\u00e1t\u00ed hodnotu Weibullova rozd\u011blen\u00ed<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287],"tags":[],"class_list":["post-5877","post","type-post","status-publish","format-standard","hentry","category-statisticke"],"acf":[],"yoast_head":"\nFunkce WEIBULL.DIST v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije WEIBULL.DIST u Excelu i Google tablicama. 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