Re: [R] [OT] "normal" (as in "Guassian")

From: Ken Knoblauch <>
Date: Sun, 02 Mar 2008 20:54:32 +0000 (UTC)

Johannes Hüsing <johannes <at>> writes:

> Am 02.03.2008 um 17:44 schrieb Gabor Csardi:
> > I'm not a statistician, but do i remember well that among all
> > distributions with a given mean and variance, the normal distribution
> > has the highest entropy? This is good enough for me to call it
> > "normal"....

> Also, the formula for the standard normal distribution is
> the only one that is its own Fourier transform. So, if we
> assume the same distribution for a momentum and
> a location of a physical object, according to Heisenberg's
> Law it has to be the normal.
It's not the only one. There is also the comb function, an infinite train of evenly spaced impulse functions that is its own transform, and then there is abs(x)^-0.5 and sech(x), but I'm just reading out of the appendix of Bracewell, 1978, The Fourier Transformation and Its Applications, McGraw-Hill.


Ken mailing list PLEASE do read the posting guide and provide commented, minimal, self-contained, reproducible code. Received on Sun 02 Mar 2008 - 21:05:59 GMT

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