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8 votes
3 answers
1k views

Looking for a distribution where: Mean=0, variance is variable, Skew=0 and kurtosis is variable

I am aiming to run simulations in order to estimate the influence of the distribution of $Y$ (independent variable) on a certain binary outcome $X$ (dependent variable). $Y$ must always has a mean of ...
Remi.b's user avatar
  • 5,182
3 votes
3 answers
851 views

$P(\lvert X - \mu\rvert \geq \sigma)$ as a measure of tailedness

I know that one of the standard measures for the "tailedness" of a distribution is kurtosis, i.e. fourth standardized central moment $\frac{\mu_4}{\sigma^4}$. This measure is sort of intuitive to me: ...
MeyCJey's user avatar
  • 133