{"id":14076,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/inv-lognorm\/"},"modified":"2021-02-26T08:53:24","modified_gmt":"2021-02-26T08:53:24","slug":"lognorm-inv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/lognorm-inv\/","title":{"rendered":"INV.LOGNORM"},"content":{"rendered":"

Descripci\u00f3n y Sintaxis de la Funci\u00f3n<\/h2>\n

La funci\u00f3n LOGNORM.INV en Excel y INV.LOGNORM en Google Sheets se emplea para calcular el inverso de la distribuci\u00f3n log-normal acumulativa. Esta funci\u00f3n provee un gran valor en an\u00e1lisis de ingenier\u00eda y financiero, especialmente para modelar rendimientos de activos o la duraci\u00f3n en la vida de productos.<\/p>\n

La sintaxis de la funci\u00f3n es:<\/p>\n

LOGNORM.INV(probabilidad, media, desviaci\u00f3n_est\u00e1ndar)<\/code><\/pre>\n
    \n
  • probabilidad<\/strong>: Es el valor de probabilidad asociado con la distribuci\u00f3n log-normal. Debe ser un n\u00famero entre 0 y 1, excluyendo estos mismos extremos.<\/li>\n
  • media<\/strong>: Representa la media de ln(x), donde x es la variable aleatoria bajo la distribuci\u00f3n log-normal.<\/li>\n
  • desviaci\u00f3n_est\u00e1ndar<\/strong>: Corresponde a la desviaci\u00f3n est\u00e1ndar de ln(x).<\/li>\n<\/ul>\n
    Ejemplo de uso:<\/p>\n
    =LOGNORM.INV(0.5, 0, 1)<\/code><\/pre>\n
    Este ejemplo calcula el valor mediano de una distribuci\u00f3n log-normal con media 0 y desviaci\u00f3n est\u00e1ndar de 1.<\/p>\n
    Ejemplos Pr\u00e1cticos<\/h2>\n
    A continuaci\u00f3n, presentamos dos escenarios donde esta funci\u00f3n es particularmente \u00fatil.<\/p>\n
    Modelar Retornos de Inversiones Financieras<\/h2>\n
    Consideremos una inversi\u00f3n financiera cuyos retornos siguen una distribuci\u00f3n log-normal con media de 0.04 y desviaci\u00f3n est\u00e1ndar de 0.5. Para determinar el retorno en el percentil 90, utilizamos:<\/p>\n
    =LOGNORM.INV(0.9, 0.04, 0.5)<\/code><\/pre>\n
    Esta funci\u00f3n nos proporciona el retorno que corresponde al percentil 90 de la distribuci\u00f3n, lo cual es clave para la planificaci\u00f3n y evaluaci\u00f3n de riesgos en inversiones.<\/p>\n
    An\u00e1lisis de Tiempos de Vida de Productos<\/h2>\n
    Supongamos que la vida \u00fatil de un componente electr\u00f3nico se adecua a una distribuci\u00f3n log-normal con media de 3 y desviaci\u00f3n est\u00e1ndar de 1. Para conocer el tiempo de vida que corresponde al 95% de probabilidad de fallo, ejecutamos:<\/p>\n
    =LOGNORM.INV(0.95, 3, 1)<\/code><\/pre>\n
    El resultado proporciona el valor cr\u00edtico para tiempos de vida, crucial para la planificaci\u00f3n de mantenimiento preventivo y la sustituci\u00f3n de componentes.<\/p>\n
    En conclusi\u00f3n, la funci\u00f3n LOGNORM.INV es un recurso imprescindible para el c\u00e1lculo de valores cr\u00edticos y cuantiles en distribuciones log-normales, aplicable en una amplia gama de contextos ingenieriles y financieros.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve la funci\u00f3n inversa de la distribuci\u00f3n logar\u00edtmica normal acumulativa<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[540],"tags":[],"class_list":["post-14076","post","type-post","status-publish","format-standard","hentry","category-estadistica"],"acf":[],"yoast_head":"\nFunci\u00f3n LOGNORM.INV (INV.LOGNORM) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n LOGNORM.INV (INV.LOGNORM) de Excel. 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