rlnorm {compositions} R Documentation

## The multivariate lognormal distribution

### Description

Generates random amounts with a multivariate lognormal distribution, or gives the density of that distribution at a given point.

### Usage

rlnorm.rplus(n,meanlog,varlog)
dlnorm.rplus(x,meanlog,varlog)


### Arguments

 n number of datasets to be simulated meanlog the mean-vector of the logs varlog the variance/covariance matrix of the logs x vectors in the sample space

### Value

rlnorm.rplus gives a generated random dataset of class "rplus" following a lognormal distribution with logs having mean meanlog and variance varlog.
dlnorm.rplus gives the density of the distribution with respect to the Lesbesgue measure on R+ as a subset of R.

### Note

The main difference between rlnorm.rplus and rnorm.aplus is that rlnorm.rplus needs a logged mean. The additional difference for the calculation of the density by dlnorm.rplus and dnorm.aplus is the reference measure (a log-Lebesgue one in the second case).

### Author(s)

K.Gerald v.d. Boogaart http://www.stat.boogaart.de, Raimon Tolosana-Delgado

### References

Aitchison, J. (1986) The Statistical Analysis of Compositional Data Monographs on Statistics and Applied Probability. Chapman & Hall Ltd., London (UK). 416p.

rnorm.acomp

### Examples

MyVar <- matrix(c(
0.2,0.1,0.0,
0.1,0.2,0.0,
0.0,0.0,0.2),byrow=TRUE,nrow=3)
MyMean <- c(1,1,2)

plot(rlnorm.rplus(100,log(MyMean),MyVar))
plot(rnorm.aplus(100,MyMean,MyVar))
x <- rnorm.aplus(5,MyMean,MyVar)
dnorm.aplus(x,MyMean,MyVar)
dlnorm.rplus(x,log(MyMean),MyVar)



[Package compositions version 2.0-8 Index]