Basis
Attributes
- Graph
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- Supertypes
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class Objecttrait Matchableclass Any
- Self type
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Basis.type
Members list
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 parameters
- degree
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The degree of the required B-spline basis (3 for cubic, default).
- intKnots
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Interior knots.
- intercept
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Include first basis function?
- lb
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Lower boundary knot.
- ub
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Upper boundary knot.
- x
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A covariate vector.
Attributes
B-spline basis function. Evaluated using the de Boor recurrence.
B-spline basis function. Evaluated using the de Boor recurrence.
Value parameters
- deg
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The degree of the B-spline.
- i
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The index of the B-spline function (starting from 0).
- knots
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The knot sequence.
- x
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The argument of the B-spline function.
Attributes
- Returns
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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 parameters
- n
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The number of cosine series basis functions required.
- x
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A covariate vector.
Attributes
- Returns
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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 parameters
- j
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The order of the basis function (assumed >= 1).
- x
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The argument of the cosine function, nominally between 0 and 1.
Attributes
- Returns
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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 parameters
- n
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The degree of the polynomial.
- x
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The argument of the polynomial, nominally between -1 and 1.
Attributes
- Returns
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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 parameters
- degree
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The maximum degree of the polynomial basis.
- raw
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Raw monomial basis (true) or orthogonal polynomials (false, default).
- x
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A covariate vector.
Attributes
- Returns
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A matrix with rows matching the length of
xanddegreecolumns.