Basis
Value members
Concrete methods
Construct a B-spline covariate matrix using input vector x.
Construct a B-spline covariate matrix using input vector x.
- Value Params
- degree
The degree of the required B-spline basis (3 for cubic, default).
- intKnots
Interior knots.
- intercept
Include first basis function?
- lb
Lower boundary knot.
- ub
Upper boundary knot.
- x
A covariate vector.
B-spline basis function. Evaluated using the de Boor recurrence.
B-spline basis function. Evaluated using the de Boor recurrence.
- Value Params
- deg
The degree of the B-spline.
- i
The index of the B-spline function (starting from 0).
- knots
The knot sequence.
- x
The argument of the B-spline function.
- Returns
The value of the B-spline function at
x.
Construct a cosine series basis matrix with n columns using
input vector x.
Construct a cosine series basis matrix with n columns using
input vector x.
- Value Params
- n
The number of cosine series basis functions required.
- x
A covariate vector.
- Returns
A matrix with rows matching the length of
xandncolumns.
Cosine orthogonal basis function. Normalised with sqrt(2).
Cosine orthogonal basis function. Normalised with sqrt(2).
- Value Params
- j
The order of the basis function (assumed >= 1).
- x
The argument of the cosine function, nominally between 0 and 1.
- Returns
The value of the cosine basis function at
x.
Legendre orthogonal polynomial function. Evaluated using Bonnet's recursion.
Legendre orthogonal polynomial function. Evaluated using Bonnet's recursion.
- Value Params
- n
The degree of the polynomial.
- x
The argument of the polynomial, nominally between -1 and 1.
- Returns
The value of the
nth polynomial atx.
Construct a polynomial basis matrix with degree columns using
input vector x.
Defaults to orthogonal Legendre polynomials, but raw monomials can be requested.
Construct a polynomial basis matrix with degree columns using
input vector x.
Defaults to orthogonal Legendre polynomials, but raw monomials can be requested.
- Value Params
- degree
The maximum degree of the polynomial basis.
- raw
Raw monomial basis (true) or orthogonal polynomials (false, default).
- x
A covariate vector.
- Returns
A matrix with rows matching the length of
xanddegreecolumns.