Of course. But the point is that this would happen with summing samples from any distribution.
Cheers, Tsjerk On Sat, Oct 26, 2013 at 10:14 AM, Rolf Turner <r.tur...@auckland.ac.nz>wrote: > > > Absolutely nothing to do with the CLT. If X_1, ..., X_n are i.i.d. N(mu, > sigma^2) then > Xbar is N(mu,sigma^2/n). Exactly. No asymptotics, no approximations, no > CLT. > > cheers, > > Rolf Turner > > > On 10/26/13 20:17, Tsjerk Wassenaar wrote: > > Hi :) > > Try this with other distributions too... And then search for 'central limit > theorem'. > > Cheers, > > Tsjerk > > > On Fri, Oct 25, 2013 at 4:48 PM, Kramer, Christian > <christian.kra...@uibk.ac.at> wrote: > > > Hi there, > > I have found a strange behavior in R that puzzles me - maybe it is a bug > or a basic scientific misunderstanding of mineââ¬Â¦ anyway, I would highly > appreciate some feedback on this, since I did not find anything on the > internet. > > I am trying to simulate a t-distribution by adding up normally distributed > numbers: > > a <- (rnorm(1000) + rnorm(1000) + rnorm(1000) )/3 > > However, when I look at the distribution using > > qqnorm(a) > > this looks more like a normal distribution than a t-distribution: > > b <- rt(1000,2) > qqnorm(b) > > Is this to be expected? Or is this an issue with the random number > generator or something else? > > Thanks a lot for replies in advance, > Christian > > -------------------------------------------- > Dr. Christian Kramer > Theoretical Chemistry > University of Innsbruck > Innrain 82 > A-6020 Innsbruck > Tel.: +43 512 507 57103 > > Homepage: http://homepage.uibk.ac.at/~c72448/kramer.html > Email: christian.kra...@uibk.ac.at > > ______________________________________________r-h...@r-project.org mailing > listhttps://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guidehttp://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. > > > > > > ______________________________________________r-h...@r-project.org mailing > listhttps://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. > > > -- Tsjerk A. Wassenaar, Ph.D. [[alternative HTML version deleted]]
______________________________________________ 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.
