Suggest Awstats and Piwiki
Review what stats you really need from them and limit them to only deal with those data sets (to keep everything running as fast as possible). You will also want to run Cron(s) to sum data into summary tables as the raw data can get a little large.
There are other methods and things you could do but from a time & Cost POV these maybe your best choice.
Google Analytic are not true stats... They are assumed numbers based on data sampling with an error rate as stated by Google of 5-80%... Making them an educated guess at best.
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