# Re: [R] Need vector of random double exponentials

From: David Winsemius <dwinsemius_at_comcast.net>
Date: Fri, 21 Mar 2008 21:01:21 +0000 (UTC)

cammie12_at_aol.com wrote in
news:8CA59A2EC4C0832-834-90_at_MBLK-M13.sysops.aol.com:

Please use an informative subject line when posting. (And read the Posting Guide. <http://www.R-project.org/posting-guide.html>

> I want to write an R function with argument n that returns a vector
> of length n with n simulated observations from the double
> exponential distribution with density: ??g(y) = 1/2e^-y

I think that might be g(y) = (1/2)e^(-abs(y)). Johnson, Kotz and Balakrishnan "Cont. Univariate Distr. 2nd ed" illustrate the acceptance-rejection method for Laplace random numbers on p 154. At any rate, there is already a package that will generate the desired random numbers.

help.search("double exponential")

#tells you:
#DExp-class(distr)             Class "DExp"
#so DExp is a class in the "distr" package
require(distr)
?DExp
?rexp

#make D a distribution argument to distr's r(), d(), and p() functions D <- DExp(rate=1) #which is the Laplace fucntion # make rvec a 100 element vector of random Dexp(rate=1) rvec<-r(D)(100)

>
> For the double exponential, I want to generate y~Exp(1) and then
> take ?y with probability 0.5

#create 100 random binomials
rprob<-rbinom(100,1,0.5)
#[1] 0 0 1 0 1 0
onehalf<-rvec*rprob

#0.0000000 0.0000000 0.6638434 0.0000000 0.4638312 0.0000000

Or if you didn't want the extraneous zeros as placeholders you could strip them out with:

onehalf[onehalf != 0]
#[1] 0.663843413 0.463831152 2.586626569 1.227912636 3.860839987 # -3.394600764 0.542588566 <snip>

Note: this does not give you 50 elements every time.

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