Article View: sci.math.stat
Article #324Darts
From: Darren O'Shaughnessy
Date: Sun, 13 Sep 1992 07:54
Date: Sun, 13 Sep 1992 07:54
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I'm working on a darts simulation program, and so have studied the
distribution of darts aimed at the bull by myself (an amateur player who
gets perhaps one in five or six inside the 25-ring).
I would have expected the distribution of the darts to be approximately
normal, but it appears that the distribution is flatter on top than a
Gaussian curve with the same standard deviation, hence with relatively more
darts falling around the one s.d. area.
At the moment, I can model this by convoluting a uniform distribution
with a normal distribution of similar variance - i.e. by assuming that the
normal errors are overlaid upon a uniformly-random bias. Can anyone think
of a more natural distribution which "looks" like this, and can be related
back to the original sources of the throwing inaccuracies (my swinging arm,
my eyes, my poor pressured mind ...)?
Thanking you in advance of a possible discussion, depending on the
overlap of statisticians and dart-players in the population of course.
Signed,
Pat Rourke (you may not have heard of me)
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Newsgroups: sci.math.stat Path: arc1-ca.pugleaf.net!sparky!uunet!munnari.oz.au!manuel!NewsWatcher!user From: dos105@rsphy2.anu.edu.au (Darren O'Shaughnessy) Subject: Darts Message-ID: <dos105-130992174724@150.203.49.43> Followup-To: sci.math.stat Sender: news@newshost.anu.edu.au Organization: Australian National University Date: Sun, 13 Sep 92 07:54:56 GMT Lines: 18