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## Main Question or Discussion Point

The qualitative meaning of central moments up to 4th order (mean, variance, skewness, and kurtosis) is well documented and explained in literature. I am posting this question because I am interested to know if any of the higher moments (5th, 6th, and so on) has some clear qualitative meaning as well.

In particular, I am wondering if any of the high-order moments (or some combination of these) could be perhaps well-suited to detect a distribution that is a bit "bumpy" (compared for example, to a normal distribution) but possibly symmetric.

Thank you,

Daniel

In particular, I am wondering if any of the high-order moments (or some combination of these) could be perhaps well-suited to detect a distribution that is a bit "bumpy" (compared for example, to a normal distribution) but possibly symmetric.

Thank you,

Daniel