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Re: gaussian random number generator ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg20996] Re: gaussian random number generator ?
  • From: rrudd at aisvt.bfg.com (Rob Rudd)
  • Date: Thu, 2 Dec 1999 21:41:10 -0500 (EST)
  • Organization: The Math Forum
  • Sender: owner-wri-mathgroup at wolfram.com

Jean-Paul Roy wrote:
> 
> Where can I find readable sources for implementations
> of gaussian random number generator ?
> Thanks,
> 
>    Jean-Paul Roy


Hi,

Stochastic Models, Estimation and Control, Volume 1
(Peter Maybeck; Example 3.18, Page 110) shows a gaussian
random number generator that sums uniformly distributed
random numbers and then relies on the central limit theorem to produce
the desired shape. The example shows the pdf for 1, 2 and 3
sums and how it becomes more and more gaussian. Your fidelity
is a function of how many numbers you choose to sum.

The algorithm for the uniform number generator can be found in most
programming books. For example, see The C Programming Language by
Kernighan and Ritchie, Section 2.7, page 46.


Rob


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