{"id":5876,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/weibull\/"},"modified":"2021-02-26T10:05:57","modified_gmt":"2021-02-26T10:05:57","slug":"weibull","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/weibull\/","title":{"rendered":"WEIBULL"},"content":{"rendered":"<p>Funkce WEIBULL.DIST v Microsoft Excel a WEIBULL v Google Sheets jsou statistick\u00e9 funkce, kter\u00e9 se pou\u017e\u00edvaj\u00ed pro v\u00fdpo\u010det hodnot Weibullova rozd\u011blen\u00ed. To je \u0161iroce vyu\u017e\u00edv\u00e1no p\u0159i anal\u00fdze spolehlivosti in\u017een\u00fdrsk\u00fdch syst\u00e9m\u016f, v anal\u00fdze p\u0159e\u017eit\u00ed a p\u0159i studiu selh\u00e1n\u00ed. Tyto funkce nab\u00edzej\u00ed flexibilitu v modelov\u00e1n\u00ed r\u016fzn\u00fdch typ\u016f dat o selh\u00e1n\u00ed s pomoc\u00ed dvou kl\u00ed\u010dov\u00fdch parametr\u016f: tvaru a m\u011b\u0159\u00edtka.<\/p>\n<p>V Excelu je dostupn\u00e1 modernizovan\u00e1 verze t\u00e9to funkce pod n\u00e1zvem WEIBULL.DIST, kter\u00e1 nahrazuje p\u016fvodn\u00ed funkci WEIBULL. Ve slu\u017eb\u011b Google Sheets je funkce nad\u00e1le ozna\u010dov\u00e1na jednodu\u0161e jako WEIBULL.<\/p>\n<h2>Syntaxe a pou\u017eit\u00ed<\/h2>\n<p><strong>Excel:<\/strong><\/p>\n<pre><code> WEIBULL.DIST(x, alpha, beta, cumulative) <\/code><\/pre>\n<ul>\n<li><strong>x<\/strong> &#8211; hodnota, pro kterou se vypo\u010d\u00edt\u00e1 funkce.<\/li>\n<li><strong>alpha<\/strong> &#8211; parametr tvaru distribuce, mus\u00ed b\u00fdt v\u011bt\u0161\u00ed ne\u017e 0.<\/li>\n<li><strong>beta<\/strong> &#8211; parametr m\u011b\u0159\u00edtka distribuce, mus\u00ed b\u00fdt tak\u00e9 v\u011bt\u0161\u00ed ne\u017e 0.<\/li>\n<li><strong>cumulative<\/strong> &#8211; logick\u00e1 hodnota, kter\u00e1 ur\u010duje, zda funkce vrac\u00ed kumulativn\u00ed distribu\u010dn\u00ed funkci (TRUE) nebo hustotu pravd\u011bpodobnosti (FALSE).<\/li>\n<\/ul>\n<p><strong>Google Sheets:<\/strong><\/p>\n<pre><code> WEIBULL(x, alpha, beta, cumulative) <\/code><\/pre>\n<p>Parametry ve Google Sheets jsou identick\u00e9 se syntax\u00ed v Excelu.<\/p>\n<h2>P\u0159\u00edklady praktick\u00e9ho vyu\u017eit\u00ed<\/h2>\n<p><strong>P\u0159\u00edklad 1: Anal\u00fdza spolehlivosti za\u0159\u00edzen\u00ed<\/strong><\/p>\n<p>P\u0159edpokl\u00e1dejme, \u017ee je pot\u0159eba odhadnout pravd\u011bpodobnost selh\u00e1n\u00ed stroje po ur\u010dit\u00e9m obdob\u00ed provozu, p\u0159i\u010dem\u017e data ukazuj\u00ed, \u017ee selh\u00e1n\u00ed stroje odpov\u00edd\u00e1 Weibullovu rozd\u011blen\u00ed s parametry alpha = 1.5 a beta = 1000 hodin.<\/p>\n<pre><code> =WEIBULL.DIST(750, 1.5, 1000, TRUE) <\/code><\/pre>\n<p>Tento v\u00fdpo\u010det poskytuje kumulativn\u00ed pravd\u011bpodobnost, \u017ee stroj sel\u017ee do 750 hodin provozu. Tato anal\u00fdza je kl\u00ed\u010dov\u00e1 pro pl\u00e1nov\u00e1n\u00ed \u00fadr\u017eby a v\u00fdm\u011bnu za\u0159\u00edzen\u00ed.<\/p>\n<p><strong>P\u0159\u00edklad 2: Odhad doby trvanlivosti produktu<\/strong><\/p>\n<p>Spole\u010dnost chce odhadnout, kdy dojde k selh\u00e1n\u00ed 10 % jejich v\u00fdrobk\u016f. Produkty sleduj\u00ed Weibullovo rozd\u011blen\u00ed s parametry alpha = 2 a beta = 5000.<\/p>\n<pre><code> =WEIBULL.DIST(5000, 2, 5000, TRUE) <\/code><\/pre>\n<p>Vypo\u010dteme kumulativn\u00ed distribu\u010dn\u00ed funkci pro 5000 hodin a zjist\u00edme, \u017ee pravd\u011bpodobnost selh\u00e1n\u00ed odpov\u00edd\u00e1 p\u0159ibli\u017en\u011b 10 %.<\/p>\n<h2>Tabulka s p\u0159\u00edklady<\/h2>\n<table border=\"1\">\n<tr>\n<th>Po\u010det hodin<\/th>\n<th>Pravd\u011bpodobnost selh\u00e1n\u00ed (cumulative = TRUE)<\/th>\n<\/tr>\n<tr>\n<td>1000<\/td>\n<td>=WEIBULL.DIST(1000, 1.5, 1000, TRUE)<\/td>\n<\/tr>\n<tr>\n<td>2000<\/td>\n<td>=WEIBULL.DIST(2000, 1.5, 1000, TRUE)<\/td>\n<\/tr>\n<tr>\n<td>3000<\/td>\n<td>=WEIBULL.DIST(3000, 1.5, 1000, TRUE)<\/td>\n<\/tr>\n<tr>\n<td>4000<\/td>\n<td>=WEIBULL.DIST(4000, 1.5, 1000, TRUE)<\/td>\n<\/tr>\n<\/table>\n<p>Tyto informace umo\u017e\u0148uj\u00ed vytvo\u0159it graf pravd\u011bpodobnosti selh\u00e1n\u00ed v z\u00e1vislosti na po\u010dtu provozn\u00edch hodin, co\u017e je kl\u00ed\u010dov\u00e9 pro \u00fa\u010dely vizu\u00e1ln\u00ed anal\u00fdzy a rozhodov\u00e1n\u00ed o \u00fadr\u017eb\u011b.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vypo\u010dte rozptyl z\u00e1kladn\u00edho souboru v\u010detn\u011b \u010d\u00edsel, textu a\u00a0logick\u00fdch hodnot<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[289],"tags":[],"class_list":["post-5876","post","type-post","status-publish","format-standard","hentry","category-kompatibilita"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkce WEIBULL v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije WEIBULL u Excelu i Google tablicama. 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