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European Journal of Operational Research, 2014
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METRIZATION OF STOCHASTIC DOMINANCE RULES [PDF]
We consider a new approach towards stochastic dominance rules which allows measuring the degree of domination or violation of a given stochastic order and represents a way of describing stochastic orders in general. Examples are provided for the n-th order stochastic dominance and stochastic orders based on a popular risk measure.
Stoyanov, S. V. +2 more
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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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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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Operational asymptotic stochastic dominance
European Journal of Operational Research, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rachel J. Huang +3 more
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Prospect and Markowitz stochastic dominance [PDF]
Levy and Levy (2002, 2004) develop the Prospect and Markowitz stochastic dominance theory with S-shaped and reverse S-shaped utility functions for investors. In this paper, we extend Levy and Levy's Prospect Stochastic Dominance theory PSD and Markowitz Stochastic Dominance theory MSD to the first three orders and link the corresponding S-shaped and ...
Wong, W.-K., Chan, R.H.
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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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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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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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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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