DT configured a stats page in the QMB for offline use. It's useful to check your firing accuracy mostly, and isn't really good for bragging rights. However, I will say that I do shoot much better offline than online.
Also, some of the 3rd party utilities allowed you to check stats. Sturmolog was one, until support was discontinued. They've always been there but you had to trawl through log files to find them in game versions that didn't have a 3rd party utility available. Good on DT for building it in
You could... Use the >user username STAT command to check how many rounds you've fired.
Simply view your plane from exterior views and count the falling cases.