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9: Teorema de Límite Central

Última actualización

31 oct 2022
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- 8.2: Variables aleatorias continuas
- 9.1: Teorema de Límite Central para Ensayos de Bernoulli

Charles M. Grinstead & J. Laurie Snell
Swarthmore College and Dartmouth College via American Mathematical Society

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9.1: Teorema de Límite Central para Ensayos de Bernoulli
El segundo teorema fundamental de la probabilidad es el Teorema del Límite Central.
9.2: Teorema del límite central para ensayos independientes discretos
Hemos ilustrado el Teorema del Límite Central en el caso de los ensayos de Bernoulli, pero este teorema se aplica a una clase mucho más general de procesos de azar.
9.3: Teorema de Límite Central para Ensayos Independientes Continuos
Hemos visto en la Sección 1.2 que la función de distribución para la suma de un gran número $n$ de variables aleatorias discretas independientes con media $\mu$ y varianza $\sigma^2$ tiende a parecerse a una densidad normal con media $n\mu$ y varianza $n\sigma^2$ . Empecemos por mirar algunos ejemplos para ver si tal resultado es incluso plausible.
9.R: Referencias

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