Symbols:Greek/Gamma/Coefficient of Skewness
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Coefficient of Skewness
- $\gamma_1$
Let $X$ be a random variable with mean $\mu$ and standard deviation $\sigma$.
The coefficient of skewness of $X$ is the coefficient:
| \(\ds \gamma_1\) | \(=\) | \(\ds \dfrac {\mu_3} { {\mu_2}^{3/2} }\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \expect {\paren {\dfrac {X - \mu} \sigma}^3}\) |
where:
- $\mu_i$ denotes the $i$th central moment of $X$
- $\mu$ denotes the expectation of $X$, that is, its first central moment
- $\sigma$ denotes the standard deviation of $X$, that is, the square root of its second central moment.
The $\LaTeX$ code for \(\gamma_1\) is \gamma_1 .