Web hit statistics?

I'm looking for some nice linux software which could make statistics about who is connected to my site (how many users, where they are from, etc.). I know I could go with various on-line sites which offer this (google statistics for instance) but I'd like to know if anyone here has any suggestions?

I used webalizer on my Fedora server because that is what came installed. The reporting was prety comprehensive for my needs. I have also heard good things about awstats.