First derivative of the quasi-optimal rho function

psic computes the first derivative of the \(\rho\) quasi-optimal function defined in the references

psic(x, c)

Arguments

x	value where the psic function is evaluated
c	tuning parameter, it defines where the \(\rho\) quasi-optimal function starts to be constant

References

Muler, N. and Yohai, V. J. (2002). Robust estimates for arch processes. Journal of Time Series Analysis, 23(3):341-375.

Salibian-Barrera, M., Van Aelst, S. and Yohai, V. J. (2016). Robust tests for linear regression models based on \(\tau\)-estimates. Computational Statistics & Data Analysis 93:436-455.

Examples

plot(seq(0,1.3,.01),psic(seq(0,1.3,.01),1),type='l',ylab="",xlab="")