[OT] "normal" (as in "Guassian")

Ken Knoblauch · 2008-03-02T20:54:32Z

Johannes H?sing huesing.name> 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

Ken Knoblauch

Sun, Mar 2, 2008 12:54 PM

Johannes H?sing <johannes <at> huesing.name> writes:

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.

best,

Ken

[OT] "normal" (as in "Guassian")

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