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) | |
Kernel.asymmetric(u, type.Ker = "AKer.norm")
u |
Data. |
type.Ker |
Type of asymmetric metric kernel, by default asymmetric normal kernel. |
Type of Asymmetric kernel:
Asymmetric Normal Kernel:
AKer.norm
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Asymmetric Cosine Kernel: AKer.cos
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Asymmetric Epanechnikov Kernel: AKer.epa
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Asymmetric Triweight
Kernel: AKer.tri
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Asymmetric Quartic Kernel:
AKer.quar
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Asymmetric Uniform Kernel: AKer.unif
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Returns asymmetric kernel.
Manuel Febrero-Bande, Manuel Oviedo de la Fuente manuel.oviedo@usc.es
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.
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)
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