Johannes Hüsing <johannes <at> 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 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. best, Ken ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
