On Tue, 3 Feb 2004 12:31:10 +0000 (GMT Standard Time), Prof Brian D Ripley <[EMAIL PROTECTED]> wrote :
>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. We differ in notation. I wouldn't call that one singular; I'd call it mixed continuous and discrete, because the distribution function is a sum of an absolutely continuous function and a step function. But in the measure theory sense, it's singular w.r.t. Lebesgue measure. Duncan ______________________________________________ [EMAIL PROTECTED] mailing list https://www.stat.math.ethz.ch/mailman/listinfo/r-devel
