When a joint, particularly the hip or knee, has either degeneration or inflamation caused by arthritis there is typically a misallignment in the biomechanics of the region and as a result of this different muscles work too hard and others not hard enough.
In nearly every case it is the gluteas muscles that are affected worst. How common is it to see people that have large untoned buttocks that do not match the shape of the rest of the body.
While obviously this problem should be addressed at the cause which is covered in other exercises, a good stretch will certainly ease further side effects.