R: Crafting Building Blocks for Polynomial Splines

mkfun.poly {gss}

R Documentation

Crafting Building Blocks for Polynomial Splines

Description

Craft numerical functions to be used by mkterm to assemble model terms.

Usage

mkrk.cubic(range)
mkphi.cubic(range)
mkrk.trig(range)
mkphi.trig(range)
mkrk.cubic.per(range)
mkrk.linear(range)
mkrk.linear.per(range)

Arguments

range

Numerical vector whose minimum and maximum specify the range on which the function to be crafted is defined.

Details

mkrk.cubic, mkphi.cubic, and mkrk.linear implement the polynomial spline construction in Gu (2002, Sec. 2.3.3) for m=2,1.

mkrk.cubic.per and mkrk.linear.per implement the periodic polynomial spline construction in Gu (2002, Sec. 4.2.1) for m=2,1.

Value

A list of two elements.

fun

Function definition.

env

Portable local constants derived from the argument.

Note

mkrk.x create a bivariate function fun(x,y,env,outer=FALSE), where x, y are real arguments and local constants can be passed in through env.

mkphi.cubic creates a univariate function fun(x,nu,env).

References

Gu, C. (2013), Smoothing Spline ANOVA Models (2nd Ed). New York: Springer-Verlag.