In Maya, export the animated camera as an FBX file.
In Stingray, import the FBX file as a unit with a skeleton and an animation clip:
Drag the camera unit from the Asset Browser into your level.
In the Property Editor, set the camera translation values to 0, 0, 0. (This is so your animation will play relative to the origin and register properly to existing objects in your level.)
Open the Level Flow Editor and create Flow nodes to set the camera as the active camera and set the animation clip to start playing back.
Test the level. (Click the green Play button.)
This launches your level (in the Test Level window) so that you're looking through the new camera as it plays back its animation.