In BIG-IP version 10.2 hf1.0, when you click persist statistics in GUI, if there are so many persist entries, the GUI will crash. However there is no any impact to your product service.
Then you could restart the httpd daemon. If it is not work, restart tomcat daemon too. Then the GUI will be get well.
In CLI:
bigstart status
bigstart restart httpd
bigstart restart tomcat