OSCV (version 1.0)

fstar: Nonsmooth density function with seven cusps.

Description

Nonsmooth density \(f^*\) with seven cusps introduced in the article of Savchuk (2017).

Usage

fstar(u)

Arguments

u

numerical vecror of argument values in the range [-3,3].

Value

The vector of values of \(f^*\) corresponding to the values of the vector \(u\).

Details

The function \(f^*\) consists of straight lines with different slopes connected together. The support of the density is [-3,3].

References

Savchuk, O.Y. (2017). One-sided cross-validation for nonsmooth density functions, arXiv:1703.05157.

See Also

sample_fstar, ISE_fstar.

Examples

## Not run: ------------------------------------
# dev.new()
# plot(seq(-3.5,3.5,len=1000),fstar(seq(-3.5,3.5,len=1000)),'l',lwd=3,
# main="Nonsmooth density fstar with seven cusps", xlab="argument", ylab="density",cex.main=1.5,
# cex.axis=1.7,cex.lab=1.7)
## ---------------------------------------------