FBX Format just export some standard parameters(Attributes in Maya) like Transformation data like Translate , Rotate , Scale and some special camera's parameter like Far and Near Clip Plane.
Camera in the Maya has some customize parameters that doesn't exist in the Houdini and FBX can't export them.
So you have to be sure that these parameters(Attributes) doesn't use in the animation !
to test it ,Export a simple Camera to the Houdini (Just set keyframe for Translate and Rotate).
If it works ,Compare it's parameters with original camera.
If your problem didn't solve , Please upload your FBX file