{"id":10431,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/rozkl-gamma-odwr\/"},"modified":"2021-02-26T05:10:02","modified_gmt":"2021-02-26T05:10:02","slug":"gamma-inv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/","title":{"rendered":"ROZK\u0141.GAMMA.ODWR"},"content":{"rendered":"<h2>Zrozumienie i zastosowanie funkcji ROZK\u0141.GAMMA.ODWR<\/h2>\n<p>Funkcja ROZK\u0141.GAMMA.ODWR dost\u0119pna w Excelu i Google Sheets umo\u017cliwia wyznaczanie kwantyli dla rozk\u0142adu gamma. Jest nieoceniona w analizach statystycznych, szczeg\u00f3lnie przy modelowaniu danych, kt\u00f3re s\u0105 opisywane przez ten rozk\u0142ad.<\/p>\n<h2>Syntaktyka funkcji<\/h2>\n<p>Funkcja ROZK\u0141.GAMMA.ODWR przyjmuje trzy argumenty:<\/p>\n<ul>\n<li><strong>prawdopodobie\u0144stwo<\/strong> &#8211; prawdopodobie\u0144stwo, dla kt\u00f3rego funkcja znajdzie odpowiedni kwantyl,<\/li>\n<li><strong>alfa<\/strong> &#8211; parametr kszta\u0142tu rozk\u0142adu gamma, warto\u015b\u0107 wi\u0119ksza od zera,<\/li>\n<li><strong>beta<\/strong> &#8211; parametr skali rozk\u0142adu gamma, r\u00f3wnie\u017c wi\u0119ksza od zera.<\/li>\n<\/ul>\n<pre> <code>=ROZK\u0141.GAMMA.ODWR(prawdopodobie\u0144stwo, alfa, beta)<\/code> <\/pre>\n<h2>Praktyczne przyk\u0142ady zastosowania<\/h2>\n<p>Przedstawiamy kilka praktycznych przyk\u0142ad\u00f3w u\u017cycia funkcji ROZK\u0141.GAMMA.ODWR:<\/p>\n<h2>Przyk\u0142ad 1: Obliczanie kwantylu rozk\u0142adu gamma dla danych warto\u015bci<\/h2>\n<p>Za\u0142\u00f3\u017cmy, \u017ce potrzebujemy znale\u017a\u0107 90-ty kwantyl rozk\u0142adu gamma o parametrach alfa = 5 i beta = 2. U\u017cyjemy w\u00f3wczas funkcji ROZK\u0141.GAMMA.ODWR w nast\u0119puj\u0105cy spos\u00f3b:<\/p>\n<pre> <code>=ROZK\u0141.GAMMA.ODWR(0.9, 5, 2)<\/code> <\/pre>\n<p>Uzyskana warto\u015b\u0107 wska\u017ce warto\u015b\u0107, poni\u017cej kt\u00f3rej znajduje si\u0119 90% obserwacji dla tego rozk\u0142adu.<\/p>\n<h2>Przyk\u0142ad 2: Zastosowanie w analizie ryzyka finansowego<\/h2>\n<p>Aby oceni\u0107 ryzyko maksymalnej straty w pewnych inwestycjach o rozk\u0142adzie gamma, przy parametrach alfa = 3 i beta = 1, stosujemy funkcj\u0119 ROZK\u0141.GAMMA.ODWR:<\/p>\n<pre> <code>=ROZK\u0141.GAMMA.ODWR(0.95, 3, 1)<\/code> <\/pre>\n<p>Wynik tej funkcji wska\u017ce najwy\u017csz\u0105 mo\u017cliw\u0105 strat\u0119, kt\u00f3re b\u0119dzie przekraczana tylko z 5% prawdopodobie\u0144stwem.<\/p>\n<table>\n<tr>\n<th>Zastosowanie<\/th>\n<th>Wz\u00f3r<\/th>\n<th>Opis<\/th>\n<\/tr>\n<tr>\n<td>Ocena ryzyka<\/td>\n<td><code>=ROZK\u0141.GAMMA.ODWR(0.95, 3, 1)<\/code><\/td>\n<td>Oblicza warto\u015b\u0107 ryzyka przekraczan\u0105 z prawdopodobie\u0144stwem 5%<\/td>\n<\/tr>\n<tr>\n<td>Ocena limit\u00f3w<\/td>\n<td><code>=ROZK\u0141.GAMMA.ODWR(0.9, 5, 2)<\/code><\/td>\n<td>Wyznacza warto\u015b\u0107, poni\u017cej kt\u00f3rej znajduje si\u0119 90% obserwacji<\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>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":[428],"tags":[],"class_list":["post-10431","post","type-post","status-publish","format-standard","hentry","category-statystyczne"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\" \/>\n<meta property=\"og:description\" content=\"Opis funkcji GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T05:10:02+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"glavadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/\",\"url\":\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/\",\"name\":\"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:50+00:00\",\"dateModified\":\"2021-02-26T05:10:02+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Opis funkcji GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/pl\/gamma-inv\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Funkcje programu Excel\",\"item\":\"https:\/\/functiontranslator.com\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Statystyczne\",\"item\":\"https:\/\/functiontranslator.com\/pl\/statystyczne\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"ROZK\u0141.GAMMA.ODWR\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\",\"url\":\"https:\/\/functiontranslator.com\/no\/\",\"name\":\"Function Translator\",\"description\":\"Excel function translator\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/functiontranslator.com\/no\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\",\"name\":\"glavadmin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"caption\":\"glavadmin\"},\"sameAs\":[\"https:\/\/functiontranslator.com\"],\"url\":\"https:\/\/functiontranslator.com\/pl\/author\/glavadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","description":"Opis funkcji GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/","og_locale":"pl_PL","og_type":"article","og_title":"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","og_description":"Opis funkcji GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","og_url":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:50+00:00","article_modified_time":"2021-02-26T05:10:02+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","twitter_misc":{"Napisane przez":"glavadmin","Szacowany czas czytania":"1 minuta"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/","url":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/","name":"Funkcja GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:50+00:00","dateModified":"2021-02-26T05:10:02+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Opis funkcji GAMMA.INV (ROZK\u0141.GAMMA.ODWR) w Excelu. Poznaj sk\u0142adni\u0119, parametry oraz praktyczne przyk\u0142ady zastosowania.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/pl\/gamma-inv\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/pl\/gamma-inv\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Funkcje programu Excel","item":"https:\/\/functiontranslator.com\/pl\/"},{"@type":"ListItem","position":2,"name":"Statystyczne","item":"https:\/\/functiontranslator.com\/pl\/statystyczne\/"},{"@type":"ListItem","position":3,"name":"ROZK\u0141.GAMMA.ODWR"}]},{"@type":"WebSite","@id":"https:\/\/functiontranslator.com\/no\/#website","url":"https:\/\/functiontranslator.com\/no\/","name":"Function Translator","description":"Excel function translator","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/functiontranslator.com\/no\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"pl-PL"},{"@type":"Person","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389","name":"glavadmin","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","caption":"glavadmin"},"sameAs":["https:\/\/functiontranslator.com"],"url":"https:\/\/functiontranslator.com\/pl\/author\/glavadmin\/"}]}},"_links":{"self":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10431","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/comments?post=10431"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10431\/revisions"}],"predecessor-version":[{"id":27746,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/posts\/10431\/revisions\/27746"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/media?parent=10431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/categories?post=10431"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/pl\/wp-json\/wp\/v2\/tags?post=10431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}