Kth standardised or central moment of a distribution
kthmoment(object, k, type = "central")Distribution.
the kth moment to calculate
one of 'central', 'standard' or 'raw', abbreviations allowed
If univariate, the given k-moment as a numeric, otherwise NULL.
$kthmoment(k, type = "central")
The kth central moment of a distribution is defined by $$CM(k)_X = E_X[(x - \mu)^k]$$ the kth standardised moment of a distribution is defined by $$SM(k)_X = \frac{CM(k)}{\sigma^k}$$ the kth raw moment of a distribution is defined by $$RM(k)_X = E_X[x^k]$$ where \(E_X\) is the expectation of distribution X, \(\mu\) is the mean of the distribution and \(\sigma\) is the standard deviation of the distribution.
Abbreviations for the type are allowed but if an unfamiliar input is given then the central moment is computed.
Can only be used after decorating with CoreStatistics.