Are you sure they only use one domain? Perhaps for analytics, but there is also adsense, doubleclick and who knows what else.
I mentioned this in a separate comment, but I can use this as inspiration to try out Piwik (http://piwik.org), and see if it can replace Google Analytics.
I use Chartbeat for real-time-y stuff and alerts, which it's exceptional at. I think Piwik may have a harder time replacing that one, but I'll certainly try it.