Kernel.integrate

Integrate Smoothing Kernels.

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

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

data

Ker

Type of Kernel. By default normal kernel.

a

Lower limit of integration.

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

Value

Returns integrate kernel.

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.

Aliases
  • Kernel.integrate
  • IKer.norm
  • IKer.cos
  • IKer.epa
  • IKer.tri
  • IKer.quar
  • IKer.unif
Examples
# NOT RUN {
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") 

# }
Documentation reproduced from package fda.usc, version 2.0.1, License: GPL-2

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