On Jul 28, 2010, at 7:55 AM, Tim Gruene wrote:

Hello,

I have 2D-data on a torus, i.e. they are scattered within [0:2pi) and are
supposed to be periodic with period 2pi.

Is there a way in R for a kernel density estimation for such data? I found this
article http://www.dmqte.unich.it/personal/dimarzio/density46.pdf
but
a) I don't fully understand the article (my knowledge in statistics is poor)
b) I did not understand which Eq. represents the kernel(s)
c) I do not now R well enough to understand whether I can use kde2d or nprudens
  with an arbitrary kernel

My simple-minded attempt was to extend the data to [-2pi:4pi) and then use
kde2d, but I am wondering
a) how accurate is this
b) is there a way to do it properly on a torus.

You could take a look at the density function within the package, "circular".

--

David Winsemius, MD
West Hartford, CT

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