request for comments --- package "distr" --- S4 Classes for Distributions
On Tue, 3 Feb 2004, Duncan Murdoch wrote:
On Tue, 03 Feb 2004 09:45:52 +0000, Matthias Kohl <Matthias.Kohl@uni-bayreuth.de> 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, ripley@stats.ox.ac.uk 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