lspline {assist}R Documentation

Calculate Reproducing Kernels for Some L-splines

Description

Return a matrix evaluating reproducing kernels for some L-splines at observed points.

Usage

lspline(x,y=x, type="exp", ...)

Arguments

x

a numeric vector on which reproducing kerenls are evaluated.

y

an optional vector, specifying the second argument of reproducing kernels. Default is x.

type

a string indicating the type of L-splines. Available options are "exp", "logit","sine", "sine1", and "linSinCos". Default is "exp".

...

other arguments needed.

Details

Denote L as the differential oprator, H_0 as the null (kernel) space. The available kernels correspond to the following L:

Value

a matrix with the numbers of row and column equal to the lengths of x and y respectively. The [i, j] element is the reproducing kernel evaluated at (x[i], y[j]).

Author(s)

Chunlei Ke chunlei\_ke@pstat.ucsb.edu and Yuedong Wang yuedong@pstat.ucsb.edu

References

Wahba, G. (1990). Spline Models for Observational Data. SIAM, Vol. 59.

Heckman, N and Ramsay, J. O. (2000). Penalised regression with model-based penalties. To appear in Canadian Journal of Statisitcs.

See Also

ssr

Examples

## Not run: 
x<- seq(0,1, len=20)
lspline(x, type="exp", r=1.5)

## End(Not run)

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