{"id":5681,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/lognorm-dist\/"},"modified":"2021-02-26T09:59:01","modified_gmt":"2021-02-26T09:59:01","slug":"lognorm-dist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/lognorm-dist\/","title":{"rendered":"LOGNORM.DIST"},"content":{"rendered":"

Pou\u017eit\u00ed logaritmicko-norm\u00e1ln\u00edho rozd\u011blen\u00ed v anal\u00fdze dat<\/h2>\n

Logaritmicko-norm\u00e1ln\u00ed rozd\u011blen\u00ed, funkce LOGNORM.DIST, je v Excelu a Google Sheets vysoce u\u017eite\u010dn\u00fdm n\u00e1strojem pro modelov\u00e1n\u00ed datov\u00fdch soubor\u016f, kde hodnoty nemohou b\u00fdt z\u00e1porn\u00e9 a kde distribuce vykazuje asymetrii sm\u011brem k vy\u0161\u0161\u00edm hodnot\u00e1m, tzn. m\u00e1 dlouh\u00fd prav\u00fd \u201eocas\u201c. Toto rozd\u011blen\u00ed se \u010dasto vyu\u017e\u00edv\u00e1 v anal\u00fdze \u010dasov\u00fdch \u00fadaj\u016f, finan\u010dn\u00edch sum a r\u016fzn\u00fdch biologick\u00fdch \u010di finan\u010dn\u00edch veli\u010din.<\/p>\n

Syntaxe a pou\u017eit\u00ed<\/h2>\n

Syntaxe funkce LOGNORM.DIST pro Excel i Google Sheets je definov\u00e1na n\u00e1sledovn\u011b:<\/p>\n

LOGNORM.DIST(x, st\u0159edn\u00ed_hodnota, sm\u011brodatn\u00e1_odchylka, kumulativn\u00ed)<\/code><\/pre>\n
    \n
  • x<\/code> je hodnota, pro kterou hodnot\u00edme funkci.<\/li>\n
  • st\u0159edn\u00ed_hodnota<\/code> ozna\u010duje pr\u016fm\u011br logaritm\u016f pod logaritmicko-norm\u00e1ln\u00edm rozd\u011blen\u00edm.<\/li>\n
  • sm\u011brodatn\u00e1_odchylka<\/code> je sm\u011brodatn\u00e1 odchylka t\u011bchto logaritm\u016f.<\/li>\n
  • kumulativn\u00ed<\/code> je booleovsk\u00fd parametr: zad\u00e1v\u00e1me TRUE pro v\u00fdpo\u010det kumulativn\u00ed distribu\u010dn\u00ed funkce, FALSE pro v\u00fdpo\u010det funkce hustoty pravd\u011bpodobnosti.<\/li>\n<\/ul>\n
    P\u0159\u00edklad pou\u017eit\u00ed:<\/p>\n
    =LOGNORM.DIST(15, 2.5, 0.5, TRUE)<\/code><\/pre>\n
    Tento p\u0159\u00edklad vr\u00e1t\u00ed hodnotu kumulativn\u00ed pravd\u011bpodobnosti, \u017ee n\u00e1hodn\u00e1 prom\u011bnn\u00e1 s logaritmicko-norm\u00e1ln\u00edm rozd\u011blen\u00edm s logaritmick\u00fdm st\u0159edem 2.5 a sm\u011brodatnou odchylkou 0.5 nep\u0159ekro\u010d\u00ed hodnotu 15.<\/p>\n
    P\u0159\u00edklady aplika\u010dn\u00edch \u00faloh<\/h2>\n
    \u00dakol 1: Evaluace investi\u010dn\u00edho n\u00e1vratu<\/h2>\n
    M\u00e1me-li investi\u010dn\u00ed n\u00e1vrat, kter\u00fd lze modelovat logaritmicko-norm\u00e1ln\u00edm rozd\u011blen\u00edm s logaritmick\u00fdm st\u0159edem 3 a sm\u011brodatnou odchylkou 1, m\u016f\u017eeme odhadnout pravd\u011bpodobnost, \u017ee n\u00e1vrat z investice nep\u0159ekro\u010d\u00ed hodnotu 20.<\/p>\n
    =LOGNORM.DIST(20, 3, 1, TRUE)<\/code><\/pre>\n
    V\u00fdsledek n\u00e1m ukazuje pravd\u011bpodobnost, \u017ee hodnota n\u00e1vratu nebude vy\u0161\u0161\u00ed ne\u017e 20.<\/p>\n
    \u00dakol 2: Anal\u00fdza \u017eivotnosti za\u0159\u00edzen\u00ed<\/h2>\n
    Jsou-li zn\u00e1my logaritmick\u00e9 parametry pro \u017eivotnost stroje, lze pomoc\u00ed nich ur\u010dit pravd\u011bpodobnost, \u017ee stroj sel\u017ee d\u0159\u00edve ne\u017e po 50 hodin\u00e1ch provozu. Nech\u0165 logaritmick\u00fd st\u0159ed je 4 a sm\u011brodatn\u00e1 odchylka 0.6.<\/p>\n
    =LOGNORM.DIST(50, 4, 0.6, TRUE)<\/code><\/pre>\n
    V\u00fdsledek n\u00e1m poskytuje pravd\u011bpodobnost v\u00fdpadku stroje p\u0159ed dosa\u017een\u00edm 50 hodin.<\/p>\n
    Tato p\u0159\u00edklady ukazuj\u00ed, jak m\u016f\u017ee b\u00fdt funkce LOGNORM.DIST v Excelu a Google Sheets u\u017eite\u010dn\u00e1 pro rozmanit\u00e9 prediktivn\u00ed anal\u00fdzy a rozhodovac\u00ed procesy v oblastech investic a techniky.<\/p>\n","protected":false},"excerpt":{"rendered":"
    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":[287],"tags":[],"class_list":["post-5681","post","type-post","status-publish","format-standard","hentry","category-statisticke"],"acf":[],"yoast_head":"\nFunkce LOGNORM.DIST v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije LOGNORM.DIST u Excelu i Google tablicama. 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