make.all.moments: Create All Moments Up to Specified Size in Environment...

In symmoments: Symbolic Central and Noncentral Moments of the Multivariate Normal Distribution

Create All Moments Up to Specified Size in Environment symmoments

Description

Create all central moment objects of a specified or smaller size in the symmoments environment.

Usage

make.all.moments(moment, verbose = TRUE)

Arguments

moment	A vector c(k1, ..., kn) specifying the highest moment to compute.
verbose	If TRUE (the default), the names of the moments are shown as the algorithm progresses; if FALSE, progress is hidden.

Details

Unsorted moments (those whose exponents are not in numeric order) are created in the symmoments environment using the tounsorted function to transform them from their sorted counterpart. If the symmoments environment does not exist, the user is prompted to create it using symmoments <- new.env().

If a sorted moment does not exist, it is automatically created. Moments of lower dimension are not created; for example, if c(2, 4) is input, m20 is created, but m2 is not.

Naming Conventions:

• Moments are named using the structure mij..l, e.g., m136.

• If any exponent is greater than 9, lowercase letters, and then uppercase letters are used. For example, m3bA represents the moment c(3, 11, 36).

• The largest single exponent allowed by this alphanumeric encoding scheme is 9 + 26 + 26 = 61.

If an object with a name of this form already exists in the target environment but is not an object of class "moment", it will be silently overwritten by the new moment object.

Value

All objects of class 'moment' up to the value given in moment are created in the environment symmoments.

Author(s)

Kem Phillips [e-mail]

References

\insertRef

Phillips2010symmoments

See Also

callmultmoments, tounsorted

Examples

## Not run: 
# Create the symmoments environment if it does not exist 
symmoments <- new.env()

# Compute all moments up to c(3,3)
make.all.moments(c(3, 3))

## End(Not run)

symmoments documentation built on May 27, 2026, 9:06 a.m.