{"id":5682,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/lognormdist\/"},"modified":"2021-02-26T09:59:03","modified_gmt":"2021-02-26T09:59:03","slug":"lognormdist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/lognormdist\/","title":{"rendered":"LOGNORMDIST"},"content":{"rendered":"<p>Funkce LOGNORMDIST dostupn\u00e1 ve slu\u017eb\u00e1ch Microsoft Excel a Google Sheets se pou\u017e\u00edv\u00e1 pro v\u00fdpo\u010det pravd\u011bpodobnosti logaritmicko-norm\u00e1ln\u00edho rozd\u011blen\u00ed. Tento typ distribuce popisuje prom\u011bnn\u00e9, jejich\u017e logaritmy maj\u00ed norm\u00e1ln\u00ed distribuci. Funkce je \u0161iroce vyu\u017e\u00edv\u00e1na v oblastech jako finance a in\u017een\u00fdrstv\u00ed, kde se modeluj\u00ed r\u016fstov\u00e9 procesy nebo odhaduj\u00ed doby pot\u0159ebn\u00e9 k dosa\u017een\u00ed r\u016fzn\u00fdch c\u00edl\u016f.<\/p>\n<h2>Syntaxe a pou\u017eit\u00ed<\/h2>\n<p>V aplikac\u00edch Microsoft Excel i Google Sheets lze funkci LOGNORMDIST pou\u017e\u00edt n\u00e1sledovn\u011b:<\/p>\n<pre><code>=LOGNORMDIST(x, pr\u016fm\u011br_log, std_log)<\/code><\/pre>\n<ul>\n<li><strong>x<\/strong> &#8211; hodnota, pro kterou se logaritmicko-norm\u00e1ln\u00ed distribuce hodnot\u00ed.<\/li>\n<li><strong>pr\u016fm\u011br_log<\/strong> &#8211; pr\u016fm\u011br logaritm\u016f dan\u00e9ho logaritmicko-norm\u00e1ln\u00edho rozd\u011blen\u00ed.<\/li>\n<li><strong>std_log<\/strong> &#8211; sm\u011brodatn\u00e1 odchylka logaritm\u016f dan\u00e9ho logaritmicko-norm\u00e1ln\u00edho rozd\u011blen\u00ed.<\/li>\n<\/ul>\n<p>Tato funkce vr\u00e1t\u00ed hodnotu pravd\u011bpodobnosti, \u017ee logaritmicky norm\u00e1ln\u00ed n\u00e1hodn\u00e1 prom\u011bnn\u00e1 bude men\u0161\u00ed nebo rovn\u00e1 hodnot\u011b <code>x<\/code>.<\/p>\n<h2>Praktick\u00e9 p\u0159\u00edklady<\/h2>\n<h3>P\u0159\u00edklad 1: Hodnocen\u00ed investi\u010dn\u00edho r\u016fstu<\/h3>\n<p>P\u0159edpokl\u00e1dejme, \u017ee hodnot\u00edme investici s o\u010dek\u00e1v\u00e1n\u00edm log-norm\u00e1ln\u00edho r\u016fstu. O\u010dek\u00e1van\u00fd pr\u016fm\u011brn\u00fd ro\u010dn\u00ed r\u016fst je 10 % a volatilita (sm\u011brodatn\u00e1 odchylka) 2 %. Chceme zjistit, jak\u00e1 je pravd\u011bpodobnost, \u017ee hodnota investice v pr\u016fb\u011bhu 10 let dos\u00e1hne alespo\u0148 10 000 K\u010d, pokud po\u010d\u00e1te\u010dn\u00ed hodnota investice byla 5 000 K\u010d.<\/p>\n<pre><code>=LOGNORMDIST(10000, 10*0.1, sqrt(10)*0.02)<\/code><\/pre>\n<p>V\u00fdsledek t\u00e9to funkce n\u00e1m poskytne pravd\u011bpodobnost, \u017ee hodnota investice po 10let\u00e9m obdob\u00ed nep\u0159es\u00e1hne 10 000 K\u010d.<\/p>\n<h3>P\u0159\u00edklad 2: Modelov\u00e1n\u00ed doby nezbytn\u00e9 k dosa\u017een\u00ed v\u00fdrobn\u00edho c\u00edle<\/h3>\n<p>Zam\u011b\u0159me se na v\u00fdrobn\u00ed proces, kde chceme dos\u00e1hnout ur\u010dit\u00e9 \u00farovn\u011b v\u00fdroby. Historick\u00e1 data ukazuj\u00ed, \u017ee pr\u016fm\u011br logaritmu pot\u0159ebn\u00e9ho \u010dasu pro dosa\u017een\u00ed tohoto c\u00edle je 2 a sm\u011brodatn\u00e1 odchylka 0.3. Jak\u00e1 je pravd\u011bpodobnost, \u017ee v\u00fdrobn\u00ed c\u00edl bude dosa\u017een v \u010dase do 20 hodin?<\/p>\n<pre><code>=LOGNORMDIST(20, 2, 0.3)<\/code><\/pre>\n<p>V\u00fdsledek n\u00e1m uk\u00e1\u017ee, jak\u00e1 je pravd\u011bpodobnost, \u017ee stanoven\u00fd v\u00fdrobn\u00ed c\u00edl bude dosa\u017een do 20 hodin.<\/p>\n<p>Function LOGNORMDIST je n\u00e1strojem pro odhad pravd\u011bpodobnost\u00ed v situac\u00edch, kde je p\u0159edpokl\u00e1d\u00e1no logaritmicko-norm\u00e1ln\u00ed rozd\u011blen\u00ed kl\u00ed\u010dov\u00fdch prom\u011bnn\u00fdch, co\u017e je obzvl\u00e1\u0161t\u011b u\u017eite\u010dn\u00e9 v finan\u010dn\u00ed anal\u00fdze a p\u0159i pl\u00e1nov\u00e1n\u00ed v\u00fdrobn\u00edch c\u00edl\u016f.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed hodnotu sou\u010dtov\u00e9ho logaritmicko-norm\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":[289],"tags":[],"class_list":["post-5682","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 LOGNORMDIST v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije LOGNORMDIST u Excelu i Google tablicama. 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