In the paper,we obtain the SRC lifting of a right continuous, left upper semi-continuous random process on a Loeb space.And show the existence of S-optimal stopping of an internal process,construct the S-optimal stopp...In the paper,we obtain the SRC lifting of a right continuous, left upper semi-continuous random process on a Loeb space.And show the existence of S-optimal stopping of an internal process,construct the S-optimal stopping. Finally we prove the fact that the standard part of the S-optimal stopping of a SRC lifting is the optimal stopping of the corresponding standard process,which generalizes the conclusions in [8]on a Loeb space.展开更多
文摘In the paper,we obtain the SRC lifting of a right continuous, left upper semi-continuous random process on a Loeb space.And show the existence of S-optimal stopping of an internal process,construct the S-optimal stopping. Finally we prove the fact that the standard part of the S-optimal stopping of a SRC lifting is the optimal stopping of the corresponding standard process,which generalizes the conclusions in [8]on a Loeb space.
