1 .No more waiting 24 hours for your stats to update. You can update them to be real time!
2. Get the most accurate Unique Visitors and Click Paths information in the industry.
3. See where your traffic is coming from - search engines, banner ads, referrals, email campaigns and more
4. Analyze downloads, bandwidth usage, errors, and much more that is only possible with software-based web analytics.
You can read more about AWStats
here
Webalizer displays in depth traffic statistics for your site. You can read more on it
here
Analog is the most popular logfile analyzer in the world. You can read more
here