Third function

Third multivariate moment of a data matrix

It contains all moments of order three which can be obtained from the variables.

Third(data, type)

Arguments

• data: data matrix

• type: type="raw" is the third raw moment

  type="central" is the third central moment

  type="standardized" is the third standardized moment

Details

Some general information about the third multivariate moment of both theoretical and emprical distributions are reviewed in Loperfido, N. (2015).

Returns

Third moment: all moments of order three which can be obtained from the variables in "data".

References

Loperfido, N. (2015). Singular Value Decomposition of the Third Multivariate Moment. Linear Algebra and its Applications 473, 202-216.

Author(s)

Cinzia Franceschini and Nicola Loperfido

Examples

data(PM10_2006)
PM10_2006_matrix<-data.matrix(PM10_2006)
Third(PM10_2006_matrix[,2:5], "raw")