As stated in the EULA, DayZ is being licensed for non-commercial purposes only. This means that in general, making money from DayZ, beyond accepting voluntary donations without any counter-value, is not allowed. However, there’s a few exceptions where we have allowed monetization. You can find more information about each of them in the links bellow:
Game Content Usage Rules generally specify how you can use our game content, logos, etc.: http://www.bistudio.com/community/game-content-usage-rules
Arma 3 and DayZ server monetization is possible in compliance with these rules (FAQ included). Feel free to ask questions in the dedicated monetization form there:
https://www.bistudio.com/monetization
Rules for monetization of videos based on our games on various video services can be found here:
YouTube
http://www.bistudio.com/community/game-content-usage-rules/monetization-youtube
Twitch
http://www.bistudio.com/community/game-content-usage-rules/monetization-twitch
Vimeo
http://www.bistudio.com/community/game-content-usage-rules/monetization-vimeo