You need the BI Tool permission to delete an Analytics Report. However, you can only delete the reports that you create, and not those that have been shared with you, unless you made a duplicate of the shared report, which places a copy in your My Items folder.
1. Click Reports in the Navigation Toolbar, and select the BI Toolbox link in the menu.
Reports you created include the icon and the shared reports you duplicated include the icon.
3. Locate the Analytics Report you want to delete, and click its icon.
4. Click OK in the confirmation prompt.