He replaces John Anderson, who didn't return after two years with the Coyotes.
The 51-year-old Brown spent the past three seasons with Vancouver, working on a staff that helped lead the Canucks to the Presidents' Trophy in consecutive seasons and a trip to the 2011 Stanley Cup finals.
Brown also has served as an assistant coach for Anaheim, Columbus and Chicago in an NHL career that dates to the 1996-97 season. He also was the head coach for four seasons with Adirondack, the Detroit Red Wings' AHL affiliate.
Not only is it a great idea, but if you don't [start using analytics] you're going to fall behind. You have to be on the cutting edge. It was [Arizona Coyotes assistant general manager] Darcy Regier who said, 'If you didn't invent it, you have to be the second- or third-best copier, because if you're fourth or fifth you've got no chance.'
— Detroit Red Wings coach Mike Babcock on his interest in advanced statistical analysis