On a generalization of the Dvoretzky–Wald–Wolfowitz theorem with an application to a robust optimization problem

On a generalization of the Dvoretzky–Wald–Wolfowitz theorem with an application to a robust optimization problem
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Dvoretzky-Wald-Wolfowitz 定理的推广及其在鲁棒优化问题中的应用

DOI:
10.1016/j.jmaa.2018.09.002
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发表时间:
2017
影响因子:
1.3
通讯作者:
Andrzej S.Nowak
Andrzej S.Nowak
中科院分区:
数学3区
文献类型:
--
作者:
Anna Ja'skiewicz;Andrzej S.Nowak

文献摘要

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假设状态空间上的σ-场没有条件原子,将Dvoretzky-Wald-Wolfowitz定理推广到条件期望的情形.模型中既没有连续性假设,也没有紧性假设。一个强大的(最大最小)优化问题的应用程序。
A generalization of the Dvoretzky–Wald–Wolfowitz theorem to the case of conditional expectations is provided assuming that theσ-field on the state space has no conditional atoms. Neither continuity nor compactness assumptions are made on the model. An application to a robust (maxmin) optimization problem is given.