The High Degree Stochastic Order of Real-Valued Random Variables

In this paper, we discuss about the high degree stochastic order of real-valued random variables. We generate new and elegant characters for the th stop-loss order over the real-valued risks, based on which the th order both on survival function and on distribution function are achieved. Furthermore, we study three high degree economic orders that based on different utility functions, the relations and properties of these orders are obtained.