fda.usc (version 1.2.3)

Kernel.integrate: Integrate Smoothing Kernels.

Description

Represent integrate kernels: normal, cosine, triweight, quartic and uniform.

Usage

Kernel.integrate(u,Ker=Ker.norm,a=-1)
IKer.norm(u)
IKer.cos(u)
IKer.epa(u)
IKer.tri(u)
IKer.quar(u)
IKer.unif(u)

Arguments

u

data

Ker

Type of Kernel. By default normal kernel.

a

Lower limit of integration.

Value

res

Returns integrate kernel.

Details

Type of integrate kernel:

Integrate Normal Kernel: IKer.norm

Integrate Cosine Kernel: IKer.cos

Integrate Epanechnikov Kernel: IKer.epa

Integrate Triweight Kernel: IKer.tri

Integrate Quartic Kernel: IKer.quar

Integrate Uniform Kernel: IKer.unif

References

Ferraty, F. and Vieu, P. (2006). Nonparametric functional data analysis. Springer Series in Statistics, New York.

Hardle, W. Applied Nonparametric Regression. Cambridge University Press, 1994.

See Also

See Also as: Kernel and integrate.

Examples

y=qnorm(seq(.1,.9,len=100))
d=IKer.tri(y)
e=IKer.cos(y)
e2=Kernel.integrate(u=y,Ker=Ker.cos)
e-e2
f=IKer.epa(y)
f2=Kernel.integrate(u=y,Ker=Ker.epa)
f-f2


plot(d,type="l",ylab="Integrate Kernel")
lines(e,col=2,type="l")
lines(f,col=4,type="l")