Update 3:
We’re told that the problem is now resolved and missing stats should reappear. It’s recommended that you restart your console.
Update 2:
The EA Support Twitter account claims that servers are back up and running but there are still some connectivity and stat loading issues on the PS4. Some users are reporting that their stats have been wiped out. EA has said that its tech team is looking into it alongside the folks over at PlayStation.
If you’re experiencing any other issues, we recommend bringing it to EA’s attention here.
Update 1: 
As some users reported, the issue isn’t specific to Battlefield 1. It’s actually occurring across all of EA’s networks and Origin is also affected. Titanfall 2‘s official Twitter account didn’t mention any console connectivity issues but did say that PC users might experience some trouble. Some are speculating that this is a DDoS attack. We’ll update our readers when we have more info.
Original story:
Some of our readers brought to our attention that they have been unable to play Battlefield 1 online. It looks like servers are indeed down for some folks. It’s unclear if this is a widespread issue or if it’s only affecting some users, but Electronic Arts and DICE are on the case. The developers issued the following statement on Twitter a couple of hours ago:

We are currently investigating reports of connectivity issues with Battlefield 1. Stand by for updates...