On 03 Feb 2004 13:21:24 +0100, Peter Dalgaard <[EMAIL PROTECTED]> wrote :
>Duncan Murdoch <[EMAIL PROTECTED]> writes: >> 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. Yes, for my second example the 2-d distribution function is continuous, because there are no atoms: F(x,y) = P(X <= x, Y <= y) = Phi(min(x,y)) I was wrong about the mixed case; sorry. Duncan ______________________________________________ [EMAIL PROTECTED] mailing list https://www.stat.math.ethz.ch/mailman/listinfo/r-devel
