I'm a noob -- so don't put too much in my opinion, but (to up credibility a little) I've been a computer engineer for about 10 years, read most of Joel's books, and tried this collaborative shtuff before -- so I'll toss in my two cents.
I feel like basically, Joel et. al. created this awesome building in which to house a library (now this isn't Wikipedia, but gimme a sec) and now they're letting us use it for free. We (or I should say thankfully, you) petitioned to create a new reading room and bookshelves called "Statistical Analysis". We meet here and talk about the things we want to talk about -- seems like the group is developing significant cohesion -- but they aren't asking for us to pay rent.
So now the question of a name comes up and it's like you want to move the reading room & bookshelves to a new building which they have to build for us. Now I know this is the web, a single address is cheap, we picked a good name, but it almost sounds like you're saying we deserve our own identity, separate from the original initiative.
Personally, I think they've done us a huge favor - I've already had several questions answered here, one I asked, a few I stumbled upon, and a few I discovered in trying to answer questions for others. But I don't want to dissociate from the SO/SE brand because, IMO, the did a damn fine job making the site. Further, because I can see the quality of Q&A on SO, I can come over here and expect and receive the same level of quality. It's also really easy to wander to other rooms for those slightly off-topic questions...
That said, if they're willing to purchase a website and redirect it to our room, stats.stackexchange.com, that would be great! It's a bit of a mouthful to get out on the elevator ride up. Then as @Srikant said, we don't need to go into a long explanation about SO, just say -- go to CrossValidated.com and get good shtuff. :O) I would liken this to saying -- hey, we've got a lot of traffic (any you know these walls are pretty thin right??) would you mind if we construct a new door? We'll tell people about it, that way our traffic won't clog the front entrance. Besides, this one's a little closer to the Stat department / a little more convenient for us to remember where it is (especially us noobs -- you know how freshmen are always getting lost..).