L_ICV: The ICV selection kernel.
In ICV: Indirect Cross-Validation (ICV) for Kernel Density Estimation

Description Usage Arguments Details Value References See Also Examples

The ICV selection kernel L defined by expression (4) of Savchuk, Hart, and Sheather (2010).

1	L_ICV(u, alpha, sigma)

`u`	numerical argument of the selection kernel,
`alpha`	first parameter of the selection kernel,
`sigma`	second parameter of the selection kernel.

The ICV selection kernel L(u;α,σ)=(1+α)φ(u)-αφ(u/σ)/σ, where φ denotes the Gaussian kernel.

The value of L(u;α,σ).

Savchuk, O.Y., Hart, J.D., Sheather, S.J. (2010). Indirect cross-validation for density estimation. Journal of the American Statistical Association, 105(489), 415-423.

ICV, h_ICV, C_ICV, MISE_mixnorm, KDE_ICV, LocICV.

## Not run: 
# Graph of the ICV selection kernel with (alpha,sigma)=(2.42,5.06).
u=seq(-10,10,len=1000)
kern=L_ICV(u,2.42,5.06)
dev.new()
plot(u,kern,'l',lwd=2,ylim=c(-0.2,1.2),ylab="kernel",cex.lab=1.7,cex.axis=1.7,main="")
lines(u,dnorm(u),lwd=3,lty="dashed")
title(main="Selection kernel with (alpha,sigma)=(2.42,5.06)",cex.main=1.6)
legend(-11, 1.2, legend=c("ICV kernel","Gaussian kernel"),lwd=c(3,3),lty=c(1,2),bty="n",cex=1.3)

## End(Not run)