Stats: Moments

Significance of moments (raw, central, standardised) and cumulants (raw, standardised), in connection with named properties of distributions
Moment numberRaw momentCentral momentStandardised momentRaw cumulantStandardised cumulant
1mean00meanN/A
2variance1variance1
3skewnessskewness
4historical kurtosis (or flatness)modern kurtosis (i.e. excess kurtosis)
5hyperskewness
6hyperflatness
7+