# fcenLR: fcenLR transformation (functional) In robCompositions: Compositional Data Analysis

## Description

fcenLR[lambda] transformation: mapping from B^2(lambda) into L^2(lambda)

## Usage

 `1` ```fcenLR(z, z_step, density) ```

## Arguments

 `z` grid of points defining the abscissa `z_step` step of the grid of the abscissa `density` grid evaluation of the lambda-density

## Value

 `out` grid evaluation of the lambda-density in L^2(lambda)

## Author(s)

R. Talskatalskarenata@seznam.cz, A. Menafoglio, K. Hronkarel.hron@upol.cz, J. J. Egozcue, J. Palarea-Albaladejo

## References

Talska, R., Menafoglio, A., Hron, K., Egozcue, J. J., Palarea-Albaladejo, J. (2020). Weighting the domain of probability densities in functional data analysis.Stat(2020). https://doi.org/10.1002/sta4.283

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18``` ```# Example (normal density) t = seq(-4.7,4.7, length = 1000) t_step = diff(t[1:2]) mean = 0; sd = 1.5 f = dnorm(t, mean, sd) f1 = f/trapzc(t_step,f) f.fcenLR = fcenLR(t,t_step,f) f.fcenLRinv = fcenLRinv(t.fine,t_step,f.fcenLR) plot(t,f.fcenLR, type="l",las=1, ylab="fcenLR(density)", cex.lab=1.2,cex.axis=1.2, col="darkblue",lwd=2) abline(h=0, col="red") plot(t,f.fcenLRinv, type="l",las=1, ylab="density",cex.lab=1.2,cex.axis=1.2, col="darkblue",lwd=2,lty=1) lines(t,f1,lty=2,lwd=2,col="gold") ```

robCompositions documentation built on Jan. 13, 2021, 10:07 p.m.