Create a Monomial Basis
create.monomial.basis
Language Reference for FDA Library

Create a Monomial Basis

DESCRIPTION:

Creates a set of basis functions consisting of powers of the argument.

USAGE:

create.monomial.basis(rangeval=c(0, 1), nbasis=2,
                      exponents=NULL, dropind=NULL,
                      quadvals=NULL, values=NULL)

OPTIONAL ARGUMENTS:

rangeval
a vector of length 2 containing the initial and final values of the interval over which the functional data object can be evaluated.
nbasis
the number of basis functions. The default is 2, which defines a basis for straight lines.
exponents
the nonnegative integer powers to be used. By default, these are 0, 1, 2, ..., nbasis .
dropind
a vector of integers specifiying the basis functions to be dropped, if any. For example, if it is required that a function be zero at the left boundary, this is achieved by dropping the first basis function, the only one that is nonzero at that point. Default value NULL.
quadvals
a matrix with two columns and a number of rows equal to the number of argument values used to approximate an integral using Simpson's rule. The first column contains these argument values. A minimum of 5 values are required for each inter-knot interval, and that is often enough. These are equally spaced between two adjacent knots. The second column contains the weights used for Simpson's rule. These are proportional to 1, 4, 2, 4, ..., 2, 4, 1.
values
a list containing the basis functions and their derivatives evaluated at the quadrature points contained in the first column of quadvals .

VALUE:

a basis object with the type monom.

SEE ALSO:

basisfd, create.bspline.basis, create.constant.basis, create.fourier.basis, create.exponential.basis, create.polygonal.basis, create.polynomial.basis, create.power.basis

EXAMPLES:

#  Create a monomial basis over the interval [-1,1]
#  consisting of the first three powers of t
basisobj <- create.monomial.basis(c(-1,1), 3)
#  plot the basis
plot(basisobj)