{"id":5563,"date":"2025-07-15T13:34:45","date_gmt":"2025-07-15T13:34:45","guid":{"rendered":"https:\/\/functiontranslator.com\/expondist\/"},"modified":"2021-02-26T09:55:00","modified_gmt":"2021-02-26T09:55:00","slug":"expondist","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/expondist\/","title":{"rendered":"EXPONDIST"},"content":{"rendered":"

\u00davod do exponenci\u00e1ln\u00ed distribu\u010dn\u00ed funkce<\/h2>\n

Exponenci\u00e1ln\u00ed distribu\u010dn\u00ed funkce je v statistice a anal\u00fdze dat \u010dasto pou\u017e\u00edv\u00e1na k modelov\u00e1n\u00ed \u010dasu mezi nez\u00e1visl\u00fdmi ud\u00e1lostmi, kter\u00e9 nast\u00e1vaj\u00ed s konstantn\u00ed pr\u016fm\u011brnou frekvenc\u00ed. Tato funkce, dostupn\u00e1 v Excelu i Google Sheets pod n\u00e1zvem EXPONDIST, umo\u017e\u0148uje odhadovat \u010dasy do n\u00e1sleduj\u00edc\u00ed ud\u00e1losti a je aplikovateln\u00e1 v mnoha oblastech, v\u010detn\u011b in\u017een\u00fdrstv\u00ed a poji\u0161\u0165ovnictv\u00ed.<\/p>\n

Syntaxe funkce<\/h2>\n

Syntaxe funkce EXPONDIST je n\u00e1sleduj\u00edc\u00ed:<\/p>\n

EXPONDIST(x, lambda, cumulative)<\/code><\/pre>\n
    \n
  • x<\/b> – Hodnota, pro kterou chceme vypo\u010d\u00edtat pravd\u011bpodobnost.<\/li>\n
  • lambda<\/b> – Parametr \u03bb (lambda), ozna\u010duj\u00edc\u00ed pr\u016fm\u011brn\u00fd po\u010det ud\u00e1lost\u00ed za jednotku \u010dasu. Hodnota \u03bb mus\u00ed b\u00fdt kladn\u00e9 \u010d\u00edslo.<\/li>\n
  • cumulative<\/b> – Logick\u00e1 hodnota ur\u010duj\u00edc\u00ed typ v\u00fdstupu funkce: je-li TRUE (nebo 1), funkce poskytne kumulativn\u00ed distribu\u010dn\u00ed funkci; je-li FALSE (nebo 0), vr\u00e1t\u00ed funkce hodnotu hustoty pravd\u011bpodobnosti.<\/li>\n<\/ul>\n
    P\u0159\u00edklady pou\u017eit\u00ed<\/h2>\n
    N\u00ed\u017ee jsou uvedeny dva p\u0159\u00edklady praktick\u00e9ho vyu\u017eit\u00ed funkce EXPONDIST:<\/p>\n
    1. Anal\u00fdza \u010dasu mezi poruchami za\u0159\u00edzen\u00ed<\/h2>\n
    P\u0159edpokl\u00e1dejme, \u017ee pr\u016fm\u011brn\u00fd \u010das mezi poruchami za\u0159\u00edzen\u00ed \u010din\u00ed 500 hodin a chceme zjistit pravd\u011bpodobnost poruchy do 400 hodin.<\/p>\n
    =EXPONDIST(400, 1\/500, TRUE)<\/code><\/pre>\n
    V tomto p\u0159\u00edpad\u011b: <\/p>\n
      \n
    • x = 400<\/li>\n
    • lambda = 1\/500, co\u017e odpov\u00edd\u00e1 pr\u016fm\u011brn\u00e9mu \u010dasu mezi poruchami.<\/li>\n
    • cumulative = TRUE, proto\u017ee po\u010d\u00edt\u00e1me kumulativn\u00ed pravd\u011bpodobnost poruchy do 400 hodin.<\/li>\n<\/ul>\n
      V\u00fdsledek ukazuje pravd\u011bpodobnost, \u017ee doba do poruchy za\u0159\u00edzen\u00ed bude men\u0161\u00ed ne\u017e nebo rovna 400 hodinam.<\/p>\n
      2. Predikce po\u010dtu ud\u00e1lost\u00ed v dan\u00e9m \u010dase<\/h2>\n
      M\u00e1me-li syst\u00e9m p\u0159ij\u00edm\u00e1n\u00ed hovor\u016f s pr\u016fm\u011brn\u00fdm \u010dasem mezi hovory 3 minuty, jak\u00e1 je pravd\u011bpodobnost, \u017ee dojde k hovoru v prvn\u00ed minut\u011b?<\/p>\n
      =EXPONDIST(1, 1\/3, FALSE)<\/code><\/pre>\n
      Pro tento p\u0159\u00edklad: <\/p>\n
        \n
      • x = 1<\/li>\n
      • lambda = 1\/3, co\u017e odpov\u00edd\u00e1 pr\u016fm\u011brn\u00e9mu \u010dasu mezi hovory.<\/li>\n
      • cumulative = FALSE, proto\u017ee zji\u0161\u0165ujeme hustotu pravd\u011bpodobnosti pro hovor pr\u00e1v\u011b v prvn\u00ed minut\u011b.<\/li>\n<\/ul>\n
        V\u00fdsledek n\u00e1m poskytne hustotu pravd\u011bpodobnosti, \u017ee doba do prvn\u00edho hovoru bude p\u0159esn\u011b jedna minuta.<\/p>\n","protected":false},"excerpt":{"rendered":"
        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":[289],"tags":[],"class_list":["post-5563","post","type-post","status-publish","format-standard","hentry","category-kompatibilita"],"acf":[],"yoast_head":"\nFunkce EXPONDIST v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije EXPONDIST u Excelu i Google tablicama. 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