In SharePoint 2010 we could get Web Analytic reports from the site settings menu, as shown in the screenshot below:
These reports provides statistics about resources used by the site collection that can be useful for Site Administrators and Operators as in the following:
In SharePoint 2013 Microsoft has chosen to remove this from the Site Settings menu. And this feature has been deprecated from everywhere it existed. Instead of Analytics Reports we now have Popularity Trends as in the following:
I have made a note of the URL of the SharePoint 2010 analytics report and simply pasted the "/_layouts/usage.aspx" part in after the SharePoint 2013 site in the URL field. And voila, it works.
One thing you need to do is to enable usage of the logging service in your SharePoint farm. Here is a link to do that: http://technet.microsoft.com/en-us/library/ee663480.aspx#section1.