Kernel.asymmetric: Asymmetric Smoothing Kernel

View source: R/Kernel.asymmetric.R

Kernel.asymmetricR Documentation

Asymmetric Smoothing Kernel

Description

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)

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.

Author(s)

Manuel Febrero-Bande, Manuel Oviedo de la Fuente manuel.oviedo@udc.es

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.

Examples

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)

fda.usc documentation built on Oct. 17, 2022, 9:06 a.m.