Message-ID: <Pine.WNT.4.58.0402031228430.164@auk>
Date: 2004-02-03T13:31:47Z
From: Brian Ripley
Subject: request for comments --- package "distr" --- S4 Classes for Distributions
In-Reply-To: <7b2v1018thc0oecs1sdq1rm447cvlmag5f@4ax.com>
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