2011/1/3 Phil Steitz <phil.ste...@gmail.com>: > On Mon, Jan 3, 2011 at 2:04 PM, Ted Dunning <ted.dunn...@gmail.com> wrote: > >> I don't think you are missing anything. Moreover, I think that wikipedia >> just has an error in this regard. >> >> Following their chain of definitions leads to this example: >> >> >> http://en.wikipedia.org/wiki/Support_(measure_theory)#A_uniform_distribution<http://en.wikipedia.org/wiki/Support_%28measure_theory%29#A_uniform_distribution> >> >> If the uniform distribution on the open interval (0,1) has the closed set >> [0,1] as its support then the beta distribution >> obviously does as well. In fact, the definition they use starts with "The >> largest closed set ...". >> >> Yes. We should probably state somewhere in the javadoc that we are using > that definition. A possible modification that would make the Wikipedia Beta > example make sense (but make the Uniform example wrong ;) would be to > consider whether or not the endpoints are in the domain of the density > function. I don't see that info as adding a lot of value, so am +1 for just > dropping the isXxxIncluded properties, but leaving isSupportConnected in > place. +1 > > Phil > > >> On Mon, Jan 3, 2011 at 11:00 AM, Mikkel Meyer Andersen <m...@mikl.dk> >> wrote: >> >> > > I am happy to keep them if I can get a clear understanding of what they >> > > mean. As I said in the original post, I think I must be missing >> > something >> > > that makes them meaningful. If you use the definition that I gave of >> > > support, other than infinities, the endpoints are always going to be >> > > included. Could well be I am missing something. >> > No, I don't think that you've missed anything. I probably haven't >> > given it a decent thought when I included them to begin with. So the >> > right think is to remove those functions following the de facto >> > definition of support. >> > >> >
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