{"id":14115,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/inv-norm-estand\/"},"modified":"2021-02-26T08:54:50","modified_gmt":"2021-02-26T08:54:50","slug":"norm-s-inv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/norm-s-inv\/","title":{"rendered":"INV.NORM.ESTAND"},"content":{"rendered":"

Introducci\u00f3n a la Distribuci\u00f3n Normal Est\u00e1ndar Inversa<\/h2>\n

La funci\u00f3n NORM.S.INV en Excel y su equivalente INV.NORM.ESTAND en Google \u0422\u0430\u0431\u043b\u0438\u0446\u044b, son utilizadas para calcular el valor de z que corresponde al percentil dado de la distribuci\u00f3n normal est\u00e1ndar. Esta distribuci\u00f3n tiene una media de cero y una desviaci\u00f3n est\u00e1ndar de uno. La funci\u00f3n es \u00fatil en estad\u00edstica cuando necesitamos encontrar valores l\u00edmite o umbrales asociados a probabilidades espec\u00edficas. <\/p>\n

Sintaxis y Ejemplos<\/h2>\n

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

NORM.S.INV(probabilidad)<\/code><\/pre>\n
Donde el argumento probabilidad<\/code> representa el percentil deseado de la distribuci\u00f3n normal est\u00e1ndar. Este debe ser un valor entre 0 y 1, excluyendo los extremos.<\/p>\n
Ejemplo de uso en Excel:<\/p>\n
=NORM.S.INV(0.95)<\/code><\/pre>\n
Este ejemplo devuelve el valor z que corresponde al 95% del \u00e1rea bajo la curva de la distribuci\u00f3n normal est\u00e1ndar, que aproximadamente es 1.645.<\/p>\n
Ejemplo de uso en Google \u0422\u0430\u0431\u043b\u0438\u0446\u044b:<\/p>\n
=INV.NORM.ESTAND(0.95)<\/code><\/pre>\n
Este ejemplo proporciona el mismo valor que el ejemplo de Excel, facilitando la comparaci\u00f3n de valores cr\u00edticos en an\u00e1lisis estad\u00edsticos.<\/p>\n
Aplicaciones Pr\u00e1cticas<\/h2>\n
La funci\u00f3n de inversi\u00f3n de la distribuci\u00f3n normal est\u00e1ndar es especialmente \u00fatil en dos \u00e1reas principales:<\/p>\n
    \n
  • Estad\u00edstica inferencial:<\/strong> Para determinar los l\u00edmites de los intervalos de confianza o realizar pruebas de hip\u00f3tesis.<\/li>\n
  • Gesti\u00f3n de riesgos:<\/strong> Por ejemplo, en el c\u00e1lculo del Valor en Riesgo (VaR) para carteras de inversi\u00f3n en finanzas.<\/li>\n<\/ul>\n
    Problema 1: C\u00e1lculo de umbrales en tests estad\u00edsticos<\/h2>\n
    Supongamos que un investigador desea conocer cu\u00e1l es el valor cr\u00edtico z para establecer un intervalo de confianza del 95% en una prueba estad\u00edstica que asume normalidad.<\/p>\n
    =NORM.S.INV(0.975)<\/code><\/pre>\n
    El investigador usa 0.975 porque el intervalo del 95% se extiende desde el 2.5% hasta el 97.5% de la distribuci\u00f3n. Este c\u00e1lculo devuelve aproximadamente 1.96, que es el valor z com\u00fanmente utilizado para los intervalos de confianza del 95%.<\/p>\n
    Problema 2: C\u00e1lculo del VaR en finanzas<\/h2>\n
    Un gestor de riesgos en un banco necesita calcular el Valor en Riesgo (VaR) a un nivel de confianza del 90% para un portafolio de acciones.<\/p>\n
    Para calcular el VaR, primero encuentra el z correspondiente usando:<\/p>\n
    =NORM.S.INV(0.1)<\/code><\/pre>\n
    El uso de 0.1 se debe a que el VaR al 90% implica que el 10% de las peores p\u00e9rdidas se est\u00e1n considerando. El resultado aproximado es -1.28. Este valor z luego se utiliza para estimar el VaR, multiplic\u00e1ndolo por la desviaci\u00f3n est\u00e1ndar del retorno de la cartera y el valor actual de la cartera.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve la funci\u00f3n inversa de la distribuci\u00f3n normal est\u00e1ndar 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-14115","post","type-post","status-publish","format-standard","hentry","category-estadistica"],"acf":[],"yoast_head":"\nFunci\u00f3n NORM.S.INV (INV.NORM.ESTAND) en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n NORM.S.INV (INV.NORM.ESTAND) de Excel. 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