{"id":13991,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/distr-gamma-inv-2\/"},"modified":"2021-02-26T08:49:23","modified_gmt":"2021-02-26T08:49:23","slug":"gammainv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/gammainv\/","title":{"rendered":"DISTR.GAMMA.INV"},"content":{"rendered":"

Introducci\u00f3n a la Funci\u00f3n Inversa de la Distribuci\u00f3n Gamma<\/h2>\n

La funci\u00f3n inversa de la distribuci\u00f3n gamma, conocida como DISTR.GAMMA.INV en Microsoft Excel y GAMMAINV en Google Sheets, se emplea para calcular el valor de la variable aleatoria que corresponde a una probabilidad espec\u00edfica dentro de la distribuci\u00f3n gamma acumulativa. Esta herramienta es especialmente \u00fatil en el \u00e1mbito de las estad\u00edsticas y el an\u00e1lisis financiero, particularmente en el estudio de tiempos de espera o en la modelaci\u00f3n de llegadas para la predicci\u00f3n y an\u00e1lisis de riesgos.<\/p>\n

Sintaxis y Ejemplos de Uso<\/h2>\n

Sintaxis en Microsoft Excel:<\/strong><\/p>\n

 =DISTR.GAMMA.INV(probabilidad, alfa, beta) <\/code><\/pre>\n
Sintaxis en Google Sheets:<\/strong><\/p>\n
 =GAMMAINV(probabilidad, alfa, beta) <\/code><\/pre>\n
Par\u00e1metros:<\/strong><\/p>\n
    \n
  • probabilidad<\/strong> – La probabilidad asociada con la distribuci\u00f3n gamma invertida. Este valor debe estar entre 0 y 1.<\/li>\n
  • alfa<\/strong> – El par\u00e1metro alfa de la distribuci\u00f3n gamma, tambi\u00e9n llamado par\u00e1metro de forma. Debe ser un n\u00famero positivo.<\/li>\n
  • beta<\/strong> – El par\u00e1metro beta de la distribuci\u00f3n gamma, conocido tambi\u00e9n como el par\u00e1metro de escala. Debe ser un n\u00famero positivo.<\/li>\n<\/ul>\n
    Ejemplo:<\/strong><\/p>\n\n\n\n
    F\u00f3rmula<\/th>\nDescripci\u00f3n<\/th>\nResultado<\/th>\n<\/tr>\n
    =DISTR.GAMMA.INV(0.5, 9, 2)<\/td>\nCalcula el valor de la variable aleatoria para una probabilidad del 50% con par\u00e1metros alfa de 9 y beta de 2.<\/td>\n18<\/td>\n<\/tr>\n<\/table>\n
    Aplicaciones Pr\u00e1cticas de la Funci\u00f3n<\/h2>\n
    Ejemplo 1: An\u00e1lisis de Tiempos de Espera<\/h2>\n
    Imagine un investigador que estudia el tiempo necesario para que diferentes reacciones qu\u00edmicas se estabilicen. Suponiendo que el tiempo de estabilizaci\u00f3n sigue una distribuci\u00f3n gamma con par\u00e1metros alfa = 3 y beta = 5, se podr\u00eda utilizar la f\u00f3rmula siguiente para determinar el tiempo m\u00e1ximo en el que el 90% de las reacciones se han estabilizado:<\/p>\n
     =GAMMAINV(0.9, 3, 5) <\/code><\/pre>\n
    Soluci\u00f3n:<\/strong> El tiempo m\u00e1ximo en el que el 90% de las reacciones se han estabilizado es aproximadamente 15.79, sujeto a las variaciones dependiendo del software y la precisi\u00f3n de los c\u00e1lculos.<\/p>\n
    Ejemplo 2: Modelado Financiero<\/h2>\n
    En el contexto financiero, el an\u00e1lisis de riesgos de inversi\u00f3n puede aprovechar la distribuci\u00f3n gamma. Consideremos un analista que quiere determinar el tiempo en el que hay un 75% de probabilidad de que una determinada cantidad de inversiones sean rentables, sabiendo que este tiempo se distribuye seg\u00fan una gamma con par\u00e1metros alfa = 2 y beta = 3:<\/p>\n
     =DISTR.GAMMA.INV(0.75, 2, 3) <\/code><\/pre>\n
    Soluci\u00f3n:<\/strong> El tiempo estimado para alcanzar el 75% de probabilidad de rentabilidad es, aproximadamente, 4.95, sujeto a variaciones dependiendo del software y la precisi\u00f3n de los c\u00e1lculos.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve la funci\u00f3n inversa de la distribuci\u00f3n gamma acumulativa<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[542],"tags":[],"class_list":["post-13991","post","type-post","status-publish","format-standard","hentry","category-compatibilidad"],"acf":[],"yoast_head":"\nFunci\u00f3n GAMMAINV (DISTR.GAMMA.INV) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n GAMMAINV (DISTR.GAMMA.INV) de Excel. 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