kernel.function: Kernel function
In gplm: Generalized Partial Linear Models (GPLM)

Description Usage Arguments Details Value Author(s) Examples

Calculates several kernel functions (uniform, triangle, epanechnikov, biweight, triweight, gaussian).

1	kernel.function(u, kernel = "biweight", product = TRUE)

`u`	n x d matrix
`kernel`	text string
`product`	(if d>1) product or spherical kernel

The kernel parameter is a text string specifying the univariate kernel function which is either the gaussian pdf or proportional to (1-|u|^p)^q. Possible text strings are "triangle" (p=q=1), "uniform" (p=1, q=0), "epanechnikov" (p=2, q=1), "biweight" or "quartic" (p=q=2), "triweight" (p=2, q=3), "gaussian" or "normal" (gaussian pdf).

The multivariate kernels are obtained by a product of unvariate kernels K(u_1)...K(u_d) or by a spherical (radially symmetric) kernel proportional to K(||u||). (The resulting kernel is a density, i.e. integrates to 1.)

n x 1 vector of kernel weights

Marlene Mueller

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  kernel.function(0)                         ## default (biweight)
  kernel.function(0, kernel="epanechnikov")  ## epanechnikov
  kernel.function(0, kernel="gaussian")      ## equals dnorm(0)