Three-Parameter Log-Logistic Distribution

Description

Density, distribution function, quantile function and random generation for the 3-parameter log-logistic distribution with shape, scale, and threshold (or shift) parameters equal to shape, scale, and thres, respectively.

Usage

dllog3(x,shape=1,scale=1,thres=0,log=FALSE)
pllog3(q,shape=1,scale=1,thres=0,lower.tail=TRUE,log.p=FALSE)
qllog3(p,shape=1,scale=1,thres=0,lower.tail=TRUE,log.p=FALSE)
rllog3(n,shape=1,scale=1,thres=0)

Arguments

Details

If Y is a random variable distributed according to a logistic distribution (with location and scale parameters), then X = exp(Y)+m has a 3-parameter log-logistic distribution with shape and scale parameters corresponding to the scale and location parameteres of Y, respectively; and threshold parameter m.

Value

dllog3 gives the density, pllog3 gives the distribution function, qllog3 gives the quantile function, and rllog3 generates random deviates.

See Also

dlogis, plogis, qlogis, rlogis, dllog, pllog, qllog, rllog

Examples

m <- 100
x <- rllog3(10,1,0,m)
dllog3(x,1,0,m)
dllog(x-m,1,0)
dlogis(log(x-m),0,1)/(x-m)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(FAdist)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/FAdist/LLOGIS3.Rd_%03d_medium.png", width=480, height=480)
> ### Name: LLOGIS3
> ### Title: Three-Parameter Log-Logistic Distribution
> ### Aliases: dllog3 pllog3 qllog3 rllog3
> ### Keywords: distribution
> 
> ### ** Examples
> 
> m <- 100
> x <- rllog3(10,1,0,m)
> dllog3(x,1,0,m)
 [1] 0.99630782 0.32397564 0.09539435 0.29005448 0.32105450 0.36128426
 [7] 0.93771552 0.12415003 0.26484731 0.15126098
> dllog(x-m,1,0)
 [1] 0.99630782 0.32397564 0.09539435 0.29005448 0.32105450 0.36128426
 [7] 0.93771552 0.12415003 0.26484731 0.15126098
> dlogis(log(x-m),0,1)/(x-m)
 [1] 0.99630782 0.32397564 0.09539435 0.29005448 0.32105450 0.36128426
 [7] 0.93771552 0.12415003 0.26484731 0.15126098
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>