I am a networking person and I am trying to use statistical methods for a problem I am facing, so I would appreciate any help or pointers.
I have users that access the medium, but in case 2 or more try to access it, they are forced to wait before they retry. The assigned wait times are random and follow an exponential distribution.
I need to figure out if they break the rule and start using a more favorable distribution (it doesn't matter which distribution: I only care to detect when they deviate from the exponential). I have done some readings and came up with CUSUM method, but I am not sure if there are better approaches.