{"id":10914,"date":"2025-07-15T13:34:51","date_gmt":"2025-07-15T13:34:51","guid":{"rendered":"https:\/\/functiontranslator.com\/lngama\/"},"modified":"2021-02-25T17:20:20","modified_gmt":"2021-02-25T17:20:20","slug":"gammaln","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pt-pt\/gammaln\/","title":{"rendered":"LNGAMA"},"content":{"rendered":"

Sintaxe detalhada da fun\u00e7\u00e3o<\/h2>\n

A fun\u00e7\u00e3o GAMMALN<\/strong> no Excel e LNGAMA<\/strong> no Google Planilhas \u00e9 usada para calcular o logaritmo natural do fatorial gama de um n\u00famero, decrementado de 1. Esse c\u00e1lculo \u00e9 especialmente \u00fatil em estat\u00edsticas e an\u00e1lise de probabilidades.<\/p>\n

Sintaxe no Excel: GAMMALN(n\u00famero) Sintaxe no Google Planilhas: LNGAMA(n\u00famero) <\/code><\/pre>\n
    \n
  • n\u00famero<\/strong>: o valor para o qual o logaritmo natural do fatorial gama ser\u00e1 calculado. Este valor deve ser positivo.<\/li>\n<\/ul>\n
    Exemplo de uso:<\/strong><\/p>\n
    =GAMMALN(5) <!-- No Excel --> =LNGAMA(5) <!-- No Google Planilhas --> <\/code><\/pre>\n
    Aplica\u00e7\u00f5es pr\u00e1ticas da fun\u00e7\u00e3o<\/h2>\n
    Veja algumas aplica\u00e7\u00f5es que ilustram a utilidade desta fun\u00e7\u00e3o.<\/p>\n
    Aplica\u00e7\u00e3o em An\u00e1lise Estat\u00edstica<\/h2>\n
    Imagine que voc\u00ea \u00e9 um analista de dados trabalhando com a distribui\u00e7\u00e3o gama de um conjunto de dados para an\u00e1lises de probabilidade e risco. A fun\u00e7\u00e3o GAMMALN pode ser essencial para calcular os par\u00e2metros dessa distribui\u00e7\u00e3o.<\/p>\n
    Exemplo: Para par\u00e2metros de forma (k) e escala (\u03b8), o logaritmo da fun\u00e7\u00e3o de densidade de probabilidade da distribui\u00e7\u00e3o gama \u00e9 calculado por: log L = (k-1)*log(x) - x\/\u03b8 - log(\u03b8^k) - GAMMALN(k) <\/code><\/pre>\n
    Para k = 3 e \u03b8 = 2:<\/p>\n
    log L = (3-1)*log(5) - 5\/2 - log(2^3) - GAMMALN(3) <\/code><\/pre>\n
    Explica\u00e7\u00e3o detalhada: Calculamos cada segmento da f\u00f3rmula inserindo os valores de x = 5, k = 3 e \u03b8 = 2 onde necess\u00e1rio, e aplicamos a fun\u00e7\u00e3o GAMMALN para encontrar o logaritmo natural do fatorial de k, onde k \u00e9 igual a 3.<\/p>\n
    Aplica\u00e7\u00e3o em Projetos de Pesquisa em Sa\u00fade<\/h2>\n
    Na pesquisa epidemiol\u00f3gica, a distribui\u00e7\u00e3o Gama frequentemente modela o per\u00edodo de incuba\u00e7\u00e3o de doen\u00e7as infecciosas. Vamos calcular o logaritmo natural do fatorial gama para diferentes per\u00edodos de incuba\u00e7\u00e3o.<\/p>\n
    Utilizando a f\u00f3rmula: GAMMALN(x), onde x representa o per\u00edodo de incuba\u00e7\u00e3o. <\/code><\/pre>\n
    Considerando um per\u00edodo de incuba\u00e7\u00e3o de 5 dias:<\/p>\n
    C\u00e1lculo: =GAMMALN(5) <\/code><\/pre>\n
    Esse c\u00e1lculo fornece o logaritmo natural do fatorial gama para 5, que pode ser usado junto a outros dados para modelar a distribui\u00e7\u00e3o da incid\u00eancia da doen\u00e7a durante o per\u00edodo de incuba\u00e7\u00e3o.<\/p>\n
    Esses exemplos demonstram como a fun\u00e7\u00e3o GAMMALN (ou LNGAMA) pode ser aplicada em diversos campos profissionais, auxiliando em an\u00e1lises estat\u00edsticas avan\u00e7adas e em projetos de pesquisa em sa\u00fade. O uso dessas fun\u00e7\u00f5es pode melhorar as an\u00e1lises e proporcionar insights mais aprofundados, contribuindo para decis\u00f5es mais embasadas em \u00e1reas que demandam uma an\u00e1lise estat\u00edstica rigorosa.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devolve o algoritmo natural da fun\u00e7\u00e3o gama, \u0393(x)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[],"class_list":["post-10914","post","type-post","status-publish","format-standard","hentry","category-estatistica"],"acf":[],"yoast_head":"\nFun\u00e7\u00e3o GAMMALN (LNGAMA) no Excel \u2013 como funciona, exemplos e sintaxe<\/title>\n<meta name=\"description\" content=\"Breve descri\u00e7\u00e3o da fun\u00e7\u00e3o GAMMALN (LNGAMA) do Excel. 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