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Tests for the first‐order stochastic dominance

Canadian Journal of Statistics
AbstractWe study the first‐order stochastic dominance (SD) test in the context of two independent random samples. We introduce several test statistics that effectively capture violations of the dominance relationship, particularly in the tail regions.
Weiwei Zhuang, Peiming Wang, Jiahua Chen
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On the Estimation Risk in First-Order Stochastic Dominance: A Note

The Journal of Financial and Quantitative Analysis, 1983
This note has given results for the probability of committing a Type I error in first-order stochastic dominance when it is assumed that both options have been sampled from the same distribution of returns. The probabilities are based on known results in the stochastic processes and statistical goodness-of-fit literatures, but have not been recognized ...
William Stein   +2 more
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The first-order stochastic dominance ordering of the Singh–Maddala distribution

Economics Letters, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Relationship between Arbitrage and First Order Stochastic Dominance

The Journal of Finance, 1986
ABSTRACTThis paper joins together two fields of research in financial economics. The first field studies stochastic dominance, while the second field studies arbitrage pricing. The two fields are linked together through the derivation and the proof of a characterization theorem. The characterization theorem gives necessary and sufficient conditions for
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A Portfolio Optimality Test Based on the First-Order Stochastic Dominance Criterion

Journal of Financial and Quantitative Analysis, 2009
AbstractExisting approaches to testing for the efficiency of a given portfolio make strong parametric assumptions about investor preferences and return distributions. Stochastic dominance-based procedures promise a useful nonparametric alternative. However, these procedures have been limited to considering binary choices.
Kopa, M, Post, GT (Thierry)
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Semi-infinite probabilistic optimization: first-order stochastic dominance constrain

Optimization, 2004
We consider stochastic optimization problems involving a continuum of probabilistic constraints. They are equivalent to stochastic dominance constraints of first order, frequently called stochastic ordering constraints. We develop necessary and sufficient conditions of optimality for these models.
Darinka Dentcheva †   +1 more
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Testing for First-Order Stochastic Dominance: A New Distribution-Free Test

The Statistician, 1996
SUMMARY This paper introduces a new distribution-free test for first-order stochastic dominance. It can be viewed as a modification of the well-known Wilcoxon-Mann-Whitney test. As it is based on the p-p-plot of two distribution functions the new test statistic has a nice pictorial interpretation.
Friedrich Schmid, Mark Trede
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Nonparametric Efficiency Analysis under Price Uncertainty: A First-Order Stochastic Dominance Approach

Journal of Productivity Analysis, 2002
This paper extends the nonparametric approach to efficiency analysis to deal with uncertainty of input-output prices. We generalize the notion of economic efficiency to derive necessary and sufficient first-order stochastic dominance (FSD) efficiency conditions.
Kuosmanen, T., Post, T.
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Optimization Under First Order Stochastic Dominance Constraints [PDF]

open access: possible, 2004
We consider stochastic optimization problems involving stochastic dominance constraints of first order, also called stochastic ordering constraints. They are equivalent to a continuum of probabilistic constraints or chance constraints. We develop first order necessary and sufficient conditions of optimality for these models.
Darinka Dentcheva, Andrzej Ruszczynski
openaire  

First-Order Stochastic Dominance Violations, Risk Preferences and Framing Effects

2023
This paper experimentally investigates whether decision-makers violations of the first-order stochastic dominance (FSD) criterion of rational choice, as documented in previous studies, are correlated with their risk preferences. As argued in the literature, FSD violations require framing effects to affect an individual's decisions: the frame of the ...
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