Application for web log analysis

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I need a stand-alone application for web log analysis (with the
possibility to modify it -> open source).

The application should give information about single user behavior and
global statistics. In particular:
-user path in the web site
-time on each page
-global time

The important requirement is that the tracking should be performed via
Javascript tagging, just like Google Analytics. The goal is to
integrate the application easily on every website.

Anyone can help me?

Thank you very much! Max

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