应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2011年
6期
657-669
,共13页
随机序%停止-损失序%期望效用理论
隨機序%停止-損失序%期望效用理論
수궤서%정지-손실서%기망효용이론
Stochastic order%stop-loss order%expected utility theory
在本文中,我们讨论了实值随机变量的高阶随机序问题.基于生存函数和分布函数的n阶序我们给出了实值风险的n阶停止-损失序一个更明朗的、更确切的刻画.进一步的,我们研究了基于不同效用函数的三种高阶经济序,我们得到了这些序之间的关系和性质.
在本文中,我們討論瞭實值隨機變量的高階隨機序問題.基于生存函數和分佈函數的n階序我們給齣瞭實值風險的n階停止-損失序一箇更明朗的、更確切的刻畫.進一步的,我們研究瞭基于不同效用函數的三種高階經濟序,我們得到瞭這些序之間的關繫和性質.
재본문중,아문토론료실치수궤변량적고계수궤서문제.기우생존함수화분포함수적n계서아문급출료실치풍험적n계정지-손실서일개경명랑적、경학절적각화.진일보적,아문연구료기우불동효용함수적삼충고계경제서,아문득도료저사서지간적관계화성질.
In this paper,we discuss about the high degree stochastic order of real-valued random variables.We generate new and elegant characters for the nth stop-loss order over the real-valued risks,based on which the nth 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.