Our CMS content editors are not configured as Sitecore Admin users. The content editors don't have access to the "Personalize" button in the Device editor. The users are added to a custom sitecore role which are inherited from these Sitecore roles :
Sitecore\Designer
Sitecore\Author
Sitecore\Sitecore Client Authoring
Is there any other role that this custome role should inherit from, to get the access to the personalize button ? The users who are configured as admin are able to view this button.
You need the role Analytics Personalization.
There's a great post here on the built in roles and what they do
http://reyrahadian.com/2015/03/19/sitecore-built-in-security-roles/