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Title: Short communication : minimal quantile functions subject to stochastic dominance constraints
Authors: Wang, X
Xia, J
Xu, ZQ 
Yang, Z
Issue Date: 2022
Source: SIAM journal on financial mathematics, 2022, v. 13, no. 3, p. SC87-SC98
Abstract: We consider a problem of finding a second-order stochastic dominance (SSD)-minimal quantile function subject to the mixture of first-order stochastic dominance (FSD) and SSD constraints. The SSD-minimal solution is explicitly worked out and has a close relation to the Skorokhod problem. This result is then applied to explicitly solve a risk minimizing problem in financial economics.
Keywords: Complete market
Risk minimizing
Skorokhod lemma
SSD-minimal
Stochastic dominance
Publisher: Society for Industrial and Applied Mathematics
Journal: SIAM journal on financial mathematics 
EISSN: 1945-497X
DOI: 10.1137/22M1488557
Rights: © 2022 Society for Industrial and Applied Mathematics
The following publication Wang, X., Xia, J., Xu, Z. Q., & Yang, Z. (2022). Short Communication: Minimal Quantile Functions Subject to Stochastic Dominance Constraints. SIAM Journal on Financial Mathematics, 13(3), SC87-SC98 is available at https://doi.org/10.1137/22M1488557.
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