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nirvana33 [79]
3 years ago
10

Si X es una variable aleatoria de tipo continuo… ¿Es posible definir el índice de asimetría de Fisher? ¿Por qué?

Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

Primero, para un caso discreto, el índice de asimetría de Fisher se calcula como:

\frac{\sum(xi - M)*n_i}{N*S_x}

Donde:

xi son los i-esimos distintos valores de nuestro conjunto de datos.

M es la media

N es el numero de datos

ni es la frequencia absoluta de cada xi

Sx es la desviacion tipica

Podemos ver que en el caso discreto, escribimos el coeficiente con una sumatoria, lo cual realmente no podemos hacer para una variable continua.

Lo que si podemos hacer para una variable continua, es una integral, donde como esta vez tenemos una variable continua, podemos definir una función:

f(X) = frequencia absoluta para X.

Y escribir el coeficiente como:

\frac{\int\limits^a_b {(X - M)*f(x)} \, dx }{N*S_x}

Entonces si, es posible definir el índice.

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