On Tue, 3 Feb 2004, Duncan Murdoch wrote: > On Tue, 03 Feb 2004 09:45:52 +0000, Matthias Kohl > <[EMAIL PROTECTED]> wrote: > > >I think the most common example is the Cantor distribution. > > That's the most common 1-dimensional singular distribution, but higher > dimensional distributions are much more commonly singular. For > example, mixed continuous-discrete distributions, and other > distributions whose support is of lower dimension than the sample > space, e.g. X ~ N(0,1), Y=X.
The most common 1d singular distribution is probably a lifetime with an atom at zero. I think the question was about a continuous but not absolutely continuous distribution, and indeed the Cantor distribution is the standard example in theory courses. -- Brian D. Ripley, [EMAIL PROTECTED] Professor of Applied Statistics, http://www.stats.ox.ac.uk/~ripley/ University of Oxford, Tel: +44 1865 272861 (self) 1 South Parks Road, +44 1865 272860 (secr) Oxford OX1 3TG, UK Fax: +44 1865 272595 ______________________________________________ [EMAIL PROTECTED] mailing list https://www.stat.math.ethz.ch/mailman/listinfo/r-devel
