fda (version 1.2.3)

create.monomial.basis: 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)

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 a

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-

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)