# st: RE: Generating random variables with logistic distribution

 From "David Harrison" To Subject st: RE: Generating random variables with logistic distribution Date Thu, 4 Aug 2005 16:12:54 +0100

```If you can construct the inverse cumulative distribution function of a distribution, then it is dead easy to draw random samples.

E.g. for a logistic distribution with parameters m and b, the cumulative distribution function is:

F(x) = 1/(1+exp(-(x-m)/b))

so the inverse is

G(x) = m - b*log(1/y - 1)

A random sample can then be drawn with

gen y = `m' - `b'*log(1/uniform() - 1)

(where `m' and `b' are locals containing the parameters m and b)

Hope this helps

David

-----Original Message-----
From: owner-statalist@hsphsun2.harvard.edu
[mailto:owner-statalist@hsphsun2.harvard.edu]On Behalf Of Richard
Williams
Sent: 04 August 2005 15:27
To: statalist@hsphsun2.harvard.edu
Subject: st: Generating random variables with logistic distribution

I know how to generate random variables with normal and uniform
distributions.  How about other distributions - in particular,
logistic?  Is there a program around that already does this, or can
somebody tell me what the formula is?  I seem to vaguely remember seeing
something like this but now I can't find it.  Thanks.

-------------------------------------------
Richard Williams, Notre Dame Dept of Sociology
OFFICE: (574)631-6668, (574)631-6463
FAX:    (574)288-4373
HOME:   (574)289-5227
EMAIL:  Richard.A.Williams.5@ND.Edu
WWW (personal):    http://www.nd.edu/~rwilliam
WWW (department):    http://www.nd.edu/~soc

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