fcenLRinv: Inverse of fcenLR transformations (functional) In robCompositions: Compositional Data Analysis

Description

Inverse of fcenLR transformations

Usage

 `1` ```fcenLRinv(z, z_step, fcenLR, k = 1) ```

Arguments

 `z` grid of points defining the abscissa `z_step` step of the grid of the abscissa `fcenLR` grid evaluation of (i) fcenLR[lambda] transformed lambda-density, (ii) fcenLR[u] transformed P-density, (iii) fcenLR[P] transformed P-density `k` value of the integral of density; if k=1 it returns a unit-integral representation of density

Details

By default, it returns a unit-integral representation of density.

Value

`out` ... grid evaluation of (i) lambda-density in B2(lambda), (ii) P-density in unweighted B2(lambda), (iii) P-density in B2(P)

Author(s)

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

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 Sept. 20, 2021, 5:07 p.m.