VoseRawMoment1 | Vose Software


See also: VoseRawMoments





Returns the first raw moment of a distribution.

The first raw moment, also known as the first moment about zero is defined as

for continuous distributions, and

for discrete distributions. So it is simply the mean of the distribution. Use VoseRawMoments to return the first four raw moments of a distribution all together.

The raw moments (or 'moments about zero') are defined for as


and the central moments (or 'moments about the mean') for are defined as:

with analogue definitions for discrete variables. The lower central moments are directly related to the variance, skewness and kurtosis. The second, third and fourth central moments can be expressed in terms of the raw moments as follows:



Monte Carlo simulation in Excel. Learn more

Spreadsheet risk analysis modeling


Adding risk and uncertainty to your project schedule. Learn more

Project risk analysis


Enterprise Risk Management software (ERM)

Learn more about our enterprise risk analysis management software tool, Pelican

Enterprise risk management software introduction