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Stochastic Dominance and Moment Inequalities
Mathematics of Operations Research, 1984For any distribution function (df) F, define F1 = F and Fn+1 (x) = ∫−∞x Fn(y) dy. For two df's F and G, we obtain a relationship between the behaviour of Gn(x) − Fn(x) for large x and certain inequalities involving the moments of F and G. In particular, we generalize Fishburn's theorem, which deduces such inequalities from the condition that Gn(x ...
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Multivariate Stochastic Dominance and Moments
Mathematics of Operations Research, 1991The sequence ≥nd of nth degree stochastic dominances for d-dimensional distribution functions is defined. It is shown that, under some regularity conditions, ≥nd implies ≥nd−1 for the (d − 1)-dimensional marginals. Also some necessary conditions for ≥nd are established.
G. L. O'Brien, SCARSINI, MARCO
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ON STOCHASTIC DOMINANCE OF NILPOTENT OPERATORS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013In this paper, motivated by Nica and Speicher [Lectures on the Combinatorics of Free Probability, London Mathematical Society Lecture Note Series, Vol. 335 (Cambridge University Press, 2006)] and Kubo and Kuo [MRM-factors for the probability measures in the Meixner class, Infin. Dimens. Anal. Quantum Probab. Relat.
Mudakkar, Syeda Rabab, Utev, Sergey
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Marginal Conditional Stochastic Dominance
Management Science, 1994This paper introduces the concept of Marginal Conditional Stochastic Dominance (MCSD), which states the conditions under which all risk-averse individuals, when presented with a given portfolio, prefer to increase the share of one risky asset over that of another. MCSD rules also answer the question of whether all risk-averse individuals include a new
Haim Shalit, Shlomo Yitzhaki
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Stochastic dominance with nonadditive probabilities
ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, 1993Summary: Choquet expected utility which uses capacities (i.e. nonadditive probability measures) in place of \(\sigma\)-additive probability measures has been introduced to decision making under uncertainty to cope with observed effects of ambiguity aversion like the Ellsberg paradox.
Rainer Dyckerhoff, Karl Mosler
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Stochastic Dominance of Pension Plans
Metroeconomica, 2003We compare different possibilities to reform a funded pension plan, whose balance is threatened by a decrease in mortality rates. Since the plan is mandatory, the welfare of employees might be reduced if contributions increase or if the retirement age is raised. An empirical study of Israeli data shows that a reform which decreases the pension benefits
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Multi-Period Stochastic Dominance
Management Science, 1974First degree stochastic dominance rules for uncertain options (distributions of returns) have been developed for the following two cases: (a) multi-period additive utility functions, (b) univariate utility functions and compound distributions of returns.
Haim Levy, Jacob Paroush
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Aspects of optimization with stochastic dominance
Annals of Operations Research, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William B. Haskell 0001 +2 more
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We develop in this paper a systematic study of the stochastic dominance ordering in spaces of measures. We collect and present in an orderly fashion, results that are spread out in the Applied Probability and Mathematical Economics literature, and extend most of them to a somewhat broader framework.
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Stochastic Dominance in Human Capital
Journal of Political Economy, 1980The paper considers the choice between two finite income paths that are subject to random variations. It is shown that if one income path, X, has more cumulative variation at the outset and less variation toward the end than another income path, Y, then X dominates Y in the sense that (almost) every decision maker prefers X to Y.
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