Duncan Murdoch <[EMAIL PROTECTED]> writes: > 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.
I don't think that qualifies as continuous, does it? Not in the sense that the distribution function is continuous, surely. The Cantor distribution is the one that has the "devils staircase" as distribution function, right? Continuous, differentiable almost everywhere but the derivative is always 0. (Take an interval, divide in three, let F(0) = 0, F(1) = 1, F(x)=.5 on the middle third, and define the outer thirds recursively.) -- O__ ---- Peter Dalgaard Blegdamsvej 3 c/ /'_ --- Dept. of Biostatistics 2200 Cph. N (*) \(*) -- University of Copenhagen Denmark Ph: (+45) 35327918 ~~~~~~~~~~ - ([EMAIL PROTECTED]) FAX: (+45) 35327907 ______________________________________________ [EMAIL PROTECTED] mailing list https://www.stat.math.ethz.ch/mailman/listinfo/r-devel
