tounsorted function

Compute an unsorted central moment object from a sorted object

Produces an unsorted central moment object from a sorted object of class "moment".

Unsorted moments are those with exponents not in numeric order, e.g., m312.

tounsorted(moment,sorted.moment)

Arguments

• moment: unsorted moment to obtain moment is in vector form, eg, c(3,1,2)
• sorted.moment: sorted moment to use in obtaining unsorted moment

Returns

A object of class 'moment', which is a list with three components:

• moment: the input moment vector

• representation: a matrix containing the representation in terms of upper-triangular matrices

• coefficients: the coefficients corresponding to the rows of the representation

Details

The unsorted moment is obtained by resorting the rows and columns of the sorted moment sucessively.

References

K Phillips, Symbolic Computation of the Central Moments of the Multivariate Normal Distribution, Journal of Statistical Software, 2010.

Author(s)

Kem Phillips kemphillips@comcast.net

See Also

multmoments

Examples

# obtain moment m312 from m123
tounsorted(c(3,1,2),callmultmoments(c(1,2,3)))