The Generating Process and an Extension of Jewitt's Location Independent Risk Concept
基于分布间的单交叉点,用左伸展推导出Jewitt位置无关风险概念的生成过程,并证明Bickel-Lehmann离差序对非递减效用函数保持风险溢价与Arrow-Pratt风险厌恶测度间的单调性。
A generating process of Jewitt's location independent risk concept is derived in terms of left stretches based on single crossings between distributions. For concave nondecreasing utility functions this stochastic order preserves monotonicity between risk premium and the Arrow-Pratt measure of risk aversion. We show that a stronger order, the Bickel-Lehmann notion of dispersion, preserves this monotonicity for the larger class of nondecreasing utilities.