Kernel.asymmetric

Asymmetric Smoothing Kernel

Represent Asymmetric Smoothing Kernels: normal, cosine, triweight, quartic and uniform.

AKer.norm=ifelse(u>=0,2*dnorm(u),0)
AKer.cos=ifelse(u>=0,pi/2*(cos(pi*u/2)),0)
AKer.epa=ifelse(u>=0 & u<=1,3/2*(1-u^2),0)
AKer.tri=ifelse(u>=0 & u<=1,35/16*(1-u^2)^3,0)
AKer.quar=ifelse(u>=0 & u<=1,15/8*(1-u^2)^2,0)
AKer.unif=ifelse(u>=0 & u<=1,1,0)

Keywords
Kernel
Usage
Kernel.asymmetric(u, type.Ker = "AKer.norm")
Arguments
u

Data.

type.Ker

Type of asymmetric metric kernel, by default asymmetric normal kernel.

Details

Type of Asymmetric kernel:

Asymmetric Normal Kernel: AKer.norm
Asymmetric Cosine Kernel: AKer.cos
Asymmetric Epanechnikov Kernel: AKer.epa
Asymmetric Triweight Kernel: AKer.tri
Asymmetric Quartic Kernel: AKer.quar
Asymmetric Uniform Kernel: AKer.unif

Value

Returns asymmetric 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.

Aliases
  • Kernel.asymmetric
  • AKer.norm
  • AKer.cos
  • AKer.epa
  • AKer.tri
  • AKer.quar
  • AKer.unif
Examples
# NOT RUN {
y=qnorm(seq(.1,.9,len=100))
a<-Kernel.asymmetric(u=y)
b<-Kernel.asymmetric(type.Ker="AKer.tri",u=y)
c=AKer.cos(y)
# }
Documentation reproduced from package fda.usc, version 2.0.1, License: GPL-2

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