There are differences in the meaning of Reclining Buddha Statues, and to understand the difference it is important to take note of the right arm position. When the right hand is supporting the head as in the picture below then this signifies that the Buddha is resting, and is related to the story of the Buddha and the giant Asurindarahu who wished to see the Buddha but did not want to bow down before him.

External link: http://tour.klcg.gov.tw/english/b/b01_01.asp?sid=2&id=30