{"id":5562,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/expon-dist\/"},"modified":"2021-02-26T09:54:59","modified_gmt":"2021-02-26T09:54:59","slug":"expon-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/expon-dist\/","title":{"rendered":"EXPON.DIST"},"content":{"rendered":"<h2>Pou\u017eit\u00ed exponenci\u00e1ln\u00ed distribu\u010dn\u00ed funkce<\/h2>\n<p>Exponenci\u00e1ln\u00ed distribu\u010dn\u00ed funkce, kter\u00e1 je v aplikac\u00edch Microsoft Excel a Google Sheets ozna\u010dov\u00e1na jako EXPON.DIST (ve verz\u00edch Excel 2010 a nov\u011bj\u0161\u00edch) nebo EXPONDIST (ve star\u0161\u00edch verz\u00edch Excelu), se vyu\u017e\u00edv\u00e1 k modelov\u00e1n\u00ed \u010dasov\u00fdch interval\u016f mezi ud\u00e1lostmi ve stochastick\u00e9m procesu, kde tyto ud\u00e1losti nast\u00e1vaj\u00ed s konstantn\u00ed pr\u016fm\u011brnou frekvenc\u00ed. Funkce je \u0161iroce pou\u017e\u00edv\u00e1na v statistice a mnoha oblastech technick\u00e9 anal\u00fdzy.<\/p>\n<h2>Syntaxe funkce<\/h2>\n<p>Funkce EXPON.DIST m\u00e1 n\u00e1sleduj\u00edc\u00ed syntaxi:<\/p>\n<ul>\n<li><strong>x<\/strong> &#8211; hodnota, pro kterou funkce vrac\u00ed hodnotu funkce hustoty pravd\u011bpodobnosti (PDF) nebo kumulativn\u00ed distribu\u010dn\u00ed funkce (CDF), co\u017e mus\u00ed b\u00fdt nez\u00e1porn\u00e9 \u010d\u00edslo.<\/li>\n<li><strong>lambda<\/strong> &#8211; parametr intenzity, kter\u00fd odpov\u00edd\u00e1 obr\u00e1cen\u00e9 hodnot\u011b st\u0159edn\u00edho \u010dasu mezi ud\u00e1lostmi a mus\u00ed b\u00fdt kladn\u00e9 \u010d\u00edslo.<\/li>\n<li><strong>cumulative<\/strong> &#8211; logick\u00e1 hodnota, kter\u00e1 ur\u010duje typ v\u00fdstupu funkce:\n<ul>\n<li><code>TRUE<\/code> pro kumulativn\u00ed distribu\u010dn\u00ed funkci (CDF),<\/li>\n<li><code>FALSE<\/code> pro funkci hustoty pravd\u011bpodobnosti (PDF).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<pre><code>=EXPON.DIST(x, lambda, cumulative)<\/code><\/pre>\n<p>Nap\u0159\u00edklad p\u0159i pou\u017eit\u00ed hodnot x = 2, lambda = 1.5 a cumulative = TRUE bude vypo\u010dten\u00fd v\u00fdsledek:<\/p>\n<pre><code>=EXPON.DIST(2, 1.5, TRUE)<\/code><\/pre>\n<h2>Praktick\u00e1 vyu\u017eit\u00ed funkce<\/h2>\n<p>Exponenci\u00e1ln\u00ed distribu\u010dn\u00ed funkce se uplat\u0148uje v anal\u00fdze r\u016fznorod\u00fdch situac\u00ed, jak ukazuj\u00ed n\u00e1sleduj\u00edc\u00ed p\u0159\u00edklady:<\/p>\n<h2>P\u0159\u00edklad 1: Anal\u00fdza \u017eivotnosti v\u00fdrobku<\/h2>\n<p>P\u0159edpokl\u00e1dejme, \u017ee v\u00fdrobce chce posoudit \u017eivotnost sv\u00fdch produkt\u016f, kter\u00e1 se obvykle vyzna\u010duje exponenci\u00e1ln\u00edm rozd\u011blen\u00edm. Pr\u016fm\u011brn\u00fd \u010das selh\u00e1n\u00ed produktu je 10 hodin, co\u017e d\u00e1v\u00e1 lambda = 1\/10 = 0.1. Pravd\u011bpodobnost, \u017ee produkt sel\u017ee b\u011bhem prvn\u00edch 8 hodin, odpov\u00edd\u00e1 hodnot\u011b:<\/p>\n<pre><code>=EXPON.DIST(8, 0.1, TRUE)<\/code><\/pre>\n<table>\n<tr>\n<td><strong>Vstup<\/strong><\/td>\n<td><strong>Rozd\u011blen\u00ed pravd\u011bpodobnosti<\/strong><\/td>\n<\/tr>\n<tr>\n<td>8 hodin<\/td>\n<td>0.5507<\/td>\n<\/tr>\n<\/table>\n<p>Koment\u00e1\u0159: Tato hodnota 0.5507 zna\u010d\u00ed, \u017ee je 55.07% pravd\u011bpodobnost, \u017ee produkt sel\u017ee do 8 hodin.<\/p>\n<h2>P\u0159\u00edklad 2: \u010cas do dal\u0161\u00ed ud\u00e1losti<\/h2>\n<p>Funkce je tak\u00e9 velmi u\u017eite\u010dn\u00e1 pro stanoven\u00ed o\u010dek\u00e1van\u00e9ho \u010dasu do nast\u00e1n\u00ed dal\u0161\u00ed ud\u00e1losti, a\u0165 u\u017e v oblasti slu\u017eeb nebo informa\u010dn\u00edch technologi\u00ed, kde jsou ud\u00e1losti nez\u00e1visl\u00e9. P\u0159edstavme si, \u017ee IT syst\u00e9m m\u00e1 pr\u016fm\u011brn\u011b jeden kritick\u00fd incident ka\u017ed\u00fdch 300 minut. Pro lambda = 1\/300 chceme ur\u010dit hustotu pravd\u011bpodobnosti pro nast\u00e1n\u00ed dal\u0161\u00ed kritick\u00e9 ud\u00e1losti za 350 minut:<\/p>\n<pre><code>=EXPON.DIST(350, 1\/300, FALSE)<\/code><\/pre>\n<table>\n<tr>\n<td><strong>\u010cas<\/strong><\/td>\n<td><strong>Hustota pravd\u011bpodobnosti<\/strong><\/td>\n<\/tr>\n<tr>\n<td>350 minut<\/td>\n<td>0.00284<\/td>\n<\/tr>\n<\/table>\n<p>Koment\u00e1\u0159: Hodnota 0.00284 ozna\u010duje velmi n\u00edzkou pravd\u011bpodobnost, typickou pro p\u0159\u00edpady, kdy \u010dasov\u00fd interval p\u0159esahuje pr\u016fm\u011brnou dobu mezi ud\u00e1lostmi.<\/p>\n<p>Funkce EXPON.DIST umo\u017e\u0148uje efektivn\u011b analyzovat a modelovat r\u016fzn\u00e9 typy proces\u016f a ud\u00e1lost\u00ed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed hodnotu exponenci\u00e1ln\u00edho 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-5562","post","type-post","status-publish","format-standard","hentry","category-statisticke"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkce EXPON.DIST v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije EXPON.DIST u Excelu i Google tablicama. 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