fda.usc (version 2.1.0)

Kernel.integrate: Integrate Smoothing Kernels.

Description

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

Usage

Kernel.integrate(u, Ker = Ker.norm, a = -1)

Value

Returns integrate kernel.

Arguments

u

data

Ker

Type of Kernel. By default normal kernel.

a

Lower limit of integration.

Author

Manuel Febrero-Bande, Manuel Oviedo de la Fuente

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")