{"id":10432,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/rozklad-gamma-odw\/"},"modified":"2021-02-26T05:10:04","modified_gmt":"2021-02-26T05:10:04","slug":"gammainv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/gammainv\/","title":{"rendered":"ROZK\u0141AD.GAMMA.ODW"},"content":{"rendered":"

Opis i zastosowanie<\/h2>\n

Funkcja GAMMAINV<\/code> w MS Excel, znana w polskiej wersji jako ROZK\u0141AD.GAMMA.ODW<\/code>, jest u\u017cywana do obliczania odwrotno\u015bci dystrybuanty rozk\u0142adu gamma. Jest to istotne narz\u0119dzie w dziedzinie statystyki, pozwalaj\u0105ce modelowa\u0107 r\u00f3\u017cnorodne zjawiska, na przyk\u0142ad czasy oczekiwania. Funkcja ta znajduje szczeg\u00f3lne zastosowanie w sytuacjach, gdy znane jest prawdopodobie\u0144stwo i potrzebujemy okre\u015bli\u0107 odpowiadaj\u0105c\u0105 mu warto\u015b\u0107 zmiennej. <\/p>\n

Syntaktyka i przyk\u0142ady<\/h2>\n

Syntaktyka funkcji w Excelu prezentuje si\u0119 nast\u0119puj\u0105co:<\/p>\n

=ROZK\u0141AD.GAMMA.ODW(prawdopodobie\u0144stwo, alfa, beta)<\/code><\/pre>\n
    \n
  • prawdopodobie\u0144stwo<\/strong> – warto\u015b\u0107 prawdopodobie\u0144stwa (od 0 do 1), dla kt\u00f3rej obliczana jest odwrotna dystrybuanta.<\/li>\n
  • alfa<\/strong> – parametr kszta\u0142tu rozk\u0142adu, musi by\u0107 wi\u0119kszy od 0.<\/li>\n
  • beta<\/strong> – parametr skali rozk\u0142adu, r\u00f3wnie\u017c musi by\u0107 wi\u0119kszy od 0.<\/li>\n<\/ul>\n
    Przyk\u0142ad u\u017cycia:<\/p>\n
    =ROZK\u0141AD.GAMMA.ODW(0.5, 2, 4)<\/code><\/pre>\n
     Powy\u017csza formu\u0142a zwraca warto\u015b\u0107 odwrotnej dystrybuanty dla rozk\u0142adu gamma z parametrami alfa r\u00f3wne 2 oraz beta r\u00f3wne 4 dla warto\u015bci prawdopodobie\u0144stwa 0.5 (mediana). <\/p>\n
    Zadania praktyczne<\/h2>\n
    1. Obliczanie czasu do awarii<\/h3>\n
    Przyjmijmy, \u017ce czas do awarii pewnej maszyny jest modelowany za pomoc\u0105 rozk\u0142adu gamma z parametrem kszta\u0142tu r\u00f3wnym 3 i skali r\u00f3wnym 1.5. Naszym celem jest okre\u015blenie czasu, po kt\u00f3rym istnieje 90% prawdopodobie\u0144stwo awarii maszyny.<\/p>\n
    =ROZK\u0141AD.GAMMA.ODW(0.9, 3, 1.5)<\/code><\/pre>\n
    Wynik tej formu\u0142y wskazuje czas, po up\u0142ywie kt\u00f3rego istnieje 90% prawdopodobie\u0144stwo awarii maszyny.<\/p>\n
    2. Modelowanie czasu prze\u017cycia<\/h3>\n
    W analizie prze\u017cycia rozk\u0142ad gamma jest cz\u0119sto stosowany do modelowania czasu \u017cycia pacjent\u00f3w po okre\u015blonych zabiegach medycznych. Za\u0142\u00f3\u017cmy, \u017ce parametr kszta\u0142tu wynosi 5, a parametr skali 20. Obliczmy czas, po kt\u00f3rym 75% pacjent\u00f3w nadal b\u0119dzie \u017cy\u0142o.<\/p>\n
    =ROZK\u0141AD.GAMMA.ODW(0.75, 5, 20)<\/code><\/pre>\n
    Formu\u0142a ta zwraca czas, po kt\u00f3rym 75% pacjent\u00f3w prawdopodobnie nadal b\u0119dzie \u017cy\u0142o.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Zwraca odwrotno\u015b\u0107 skumulowanego rozk\u0142adu gamma<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[430],"tags":[],"class_list":["post-10432","post","type-post","status-publish","format-standard","hentry","category-zgodnosci"],"acf":[],"yoast_head":"\nFunkcja GAMMAINV (ROZK\u0141AD.GAMMA.ODW) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji GAMMAINV (ROZK\u0141AD.GAMMA.ODW) w Excelu. 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